David Cameron voiced his determination on Monday to make it easier for Indian businessmen and students to work, study and invest in the UK as he arrived in Mumbai at the head of the largest trade mission ever to travel overseas with a prime minister.

But Cameron made clear that in return, he wanted India to tear down outdated barriers to investment to help UK-based companies in areas like insurance and banking to establish a foothold in the fast-growing economy.

cameron

Prime minister David Cameron holds a Q&A session with Unilever employees at their headquarters in Mumbai, India

Speaking on the first day of his second visit to India as PM, Cameron revealed he was talking to the government in Delhi about the prospects for a new corridor of development between Mumbai and Bangalore, featuring new towns and infrastructure, which could provide opportunities for British planners, architects, construction firms and finance specialists.

Cameron announced the creation of a new "same-day" visa service for Indian businessmen, in response to unhappiness with the current system which can take three days or more to process applications.

And he said there was "no limit" to the number of Indians who would be allowed to study at UK universities and stay on in graduate-level jobs after they qualified.

Speaking to workers at the Mumbai headquarters of the Anglo-Dutch Unilever group, Cameron said: "Britain is one of the most open, easy-to-invest-in countries in the world. We are incredibly welcoming.

"I am very proud of the fact that it is an Indian company, Tata, that makes the Jaguars and Land Rovers that are taking the world by storm. They also roll most of our steel and own Tetley Tea - and you don't get any more British than Tetley Tea.

"I am very proud of that. Britain is an open economy and we encourage that investment.

"I think, in return, we should be having a conversation about opening up the Indian economy, making it easier to do business here, allowing insurance and banking companies to doo more foreign direct investment into the Indian economy.

"There are still many rules and regulations in the Indian economy associated with how you did things in the past which, if you change them, will make your economy grow and deliver more jobs, more wealth, more prosperity across your country.

"It's a good to have, but it goes both ways. We should look at the things we need to do to take our barriers down, and we hope your government will do the same."

Cameron is accompanied on his three-day trip by a delegation of more than 100 representatives of major corporations, small businesses and academic institutions, as well as football's Premier League, the London Underground and nine parliamentarians.

He told his audience in Mumbai that he wants Britain's partnership with India to be "a really special relationship" for the 21st century.

"Britain wants to be your partner of choice," said Cameron. "We think there are huge ties of history and language and culture and business, but we think we have only just started on the sort of partnership we could build."

Britain was "rewriting the rules" in response to Indian business and government calls for easier access to high technology, he said.

And he added: "We are looking with your government at whether we can open up a whole corridor between Mumbai and Bangalore of growing towns and developments and work and plan that with you.

"With me, I have got architects, planners and private finance experts who can work out a complete solution, putting together all the things you need to have that infrastructure."

On providing new infrastructure, Cameron said his main advice was to "start now", rather than delaying construction for years.

He cited the example of the London Underground, which deteriorated for decades for lack of investment in upgrades.

"One thing I would say is, if you know you have got to build new infrastructure, even though you know it is going to take many years, start now," he said.

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  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron (L) shakes hands with his Indian counterpart Manmohan Singh prior to a meeting in New Delhi on February 19, 2013. British Prime Minister David Cameron promised full cooperation with India and its police as a probe into alleged kickbacks in a helicopter deal clouded his meetings Tuesday with leaders in New Delhi. AFP PHOTO/ Prakash SINGH (Photo credit should read PRAKASH SINGH/AFP/Getty Images)

  • Prime Minister David Cameron Official Visit To India

    DELHI, INDIA - FEBRUARY 19: British Prime Minister David Cameron shakes hands with Indian Prime Minister Manmohan Singh at Hyderabad House on February 19, 2013 in New Delhi, India. British Prime Minister David Cameron arrived in India on Monday for an official three-day trip accompanied by a large business delegation from the UK. (Photo by Daniel Berehulak/Getty Images)

  • Prime Minister David Cameron Official Visit To India

    DELHI, INDIA - FEBRUARY 19: British Prime Minister David Cameron shakes hands with Indian Prime Minister Manmohan Singh at Hyderabad House on February 19, 2013 in New Delhi, India. British Prime Minister David Cameron arrived in India on Monday for an official three-day trip accompanied by a large business delegation from the UK. (Photo by Daniel Berehulak/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron (L) shakes hands with his Indian counterpart Manmohan Singh prior to a meeting in New Delhi on February 19, 2013. British Prime Minister David Cameron promised full cooperation with India and its police as a probe into alleged kickbacks in a helicopter deal clouded his meetings Tuesday with leaders in New Delhi. AFP PHOTO/ Prakash SINGH (Photo credit should read PRAKASH SINGH/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron (L) shakes hands with his Indian counterpart Manmohan Singh prior to a meeting in New Delhi on February 19, 2013. British Prime Minister David Cameron promised full cooperation with India and its police as a probe into alleged kickbacks in a helicopter deal clouded his meetings Tuesday with leaders in New Delhi. AFP PHOTO/ Prakash SINGH (Photo credit should read PRAKASH SINGH/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron (L) shakes hands with his Indian counterpart Manmohan Singh prior to a meeting in New Delhi on February 19, 2013. British Prime Minister David Cameron promised full cooperation with India and its police as a probe into alleged kickbacks in a helicopter deal clouded his meetings Tuesday with leaders in New Delhi. AFP PHOTO/ Prakash SINGH (Photo credit should read PRAKASH SINGH/AFP/Getty Images)

  • Cameron visit to India - Day 1

    Prime Minister David Cameron attends a reception at the Museum of Mumbai for Indian and British businessmen and women and hosted by the CEO of BP Bob Dudley (right) and Mukesh Ambani (left) of the Indian firm Reliance and the richest man in India. PRESS ASSOCIATION Monday February 16 2013. Mr Cameron is on a three day trade visit to India where he will later hold talks with his Indian counterpart Dr Manmohan Singh in Delhi. See PA story POLITICS Cameron. Photo credit should read: Stefan Rousseau/PA Wire

  • Cameron visit to India - Day 1

    Prime Minister David Cameron poses with Indian boys who he played cricket with at the Oval Maidan, a communal cricket pitch in the centre of Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron attends a reception at the Museum of Mumbai for Indian and British businessmen and women and hosted by the CEO of BP Bob Dudley (right) and Mukesh Ambani (left) of the Indian firm Reliance and the richest man in India. PRESS ASSOCIATION Monday February 16 2013. Mr Cameron is on a three day trade visit to India where he will later hold talks with his Indian counterpart Dr Manmohan Singh in Delhi. See PA story POLITICS Cameron. Photo credit should read: Stefan Rousseau/PA Wire

  • Cameron visit to India - Day 1

    Prime Minister David Cameron attends a reception at the Museum of Mumbai for Indian and British businessmen and women and hosted by the CEO of BP Bob Dudley. PRESS ASSOCIATION Monday February 16 2013. Mr Cameron is on a three day trade visit to India where he will later hold talks with his Indian counterpart Dr Manmohan Singh in Delhi. See PA story POLITICS Cameron. Photo credit should read: Stefan Rousseau/PA Wire

  • Cameron visit to India - Day 1

    Prime Minister David Cameron plays cricket with Indian boys at the Oval Maidan, a communal cricket pitch in the centre of Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron attends a reception at the Museum of Mumbai for Indian and British businessmen and women and hosted by the CEO of BP Bob Dudley. PRESS ASSOCIATION Monday February 16 2013. Mr Cameron is on a three day trade visit to India where he will later hold talks with his Indian counterpart Dr Manmohan Singh in Delhi. See PA story POLITICS Cameron. Photo credit should read: Stefan Rousseau/PA Wire

  • Cameron visit to India - Day 1

    Prime Minister David Cameron plays cricket with Indian boys at the Oval Maidan, a communal cricket pitch in the centre of Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron plays cricket with Indian boys at the Oval Maidan, a communal cricket pitch in the centre of Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron plays cricket with Indian boys at the Oval Maidan, a communal cricket pitch in the centre of Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron plays cricket with Indian boys at the Oval Maidan, a communal cricket pitch in the centre of Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron plays cricket with Indian boys at the Oval Maidan, a communal cricket pitch in the centre of Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron plays cricket with Indian boys at the Oval Maidan, a communal cricket pitch in the centre of Mumbai, India.

  • David Cameron

    British Prime Minister David Cameron, center, arrives to pay tribute at the Police Memorial in Mumbai, India, Monday, Feb. 18, 2013. Cameron called on India to further open up to foreign investment and loosen regulations that hamper businesses, saying Monday that the countries' "special relationship" could blossom into a powerful economic partnership. (AP Photo/Rajanish Kakade)

  • Cameron visit to India - Day 1

    Prime Minister David Cameron arrives to lay a wreath at the memorial to commemorate the policemen who were killed in the terrorist attacks of November 2008, in Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron lays a wreath at the memorial to commemorate the policemen who were killed in the terrorist attacks of November 2008, in Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron arrives to lay a wreath at the memorial to commemorate the policemen who were killed in the terrorist attacks of November 2008, in Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron lays a wreath at the memorial to commemorate the policemen who were killed in the terrorist attacks of November 2008, in Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron arrives to lay a wreath at the memorial to commemorate the policemen who were killed in the terrorist attacks of November 2008, in Mumbai, India.

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron arrives to pay his respects at a memorial for fallen police and uniformed personnel who lost their lives in the 2008 terror attacks in Mumbai on February 18, 2013. British Prime Minister David Cameron arrived in India with what he called Britain's biggest ever overseas business delegation for a three-day visit clouded by a corruption scandal.. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron arrives to pay his respects at a memorial for police and uniformed personnel who lost their lives in the 2008 terror attacks in Mumbai on February 18, 2013. British Prime Minister David Cameron arrived in India with what he called Britain's biggest ever overseas business delegation for a three-day visit clouded by a corruption scandal. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • INDIA-BRITAIN-DIPLOMACY-ECONOMY

    British Prime Minister David Cameron speaks during a business seminar in Mumbai on February 18, 2013. Cameron arrived in India's financial hub Mumbai on a three-day trade-focused visit clouded by a corruption scandal over British-made helicopters sold to New Delhi. AFP PHOTO/Indranil MUKHERJEE (Photo credit should read INDRANIL MUKHERJEE/AFP/Getty Images)

  • Cameron visit to India - Day 1

    Prime Minister David Cameron arrives in Mumbai, India ahead of his three-day visit to the country.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron holds a Q&A session with Unilever employees at their headquarters in Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron holds a Q&A session with Unilever employees at their headquarters in Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron holds a Q&A session with Unilever employees at their headquarters in Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron holds a Q&A session with Unilever employees at their headquarters in Mumbai, India.

  • Cameron visit to India - Day 1

    Prime Minister David Cameron arrives in Mumbai, India ahead of his three-day visit to the country.