Chartering the jumbo jet has reportedly cost the government £500,000.
Sir David Normington said it was "simply not acceptable" to send asylum seekers to a country they don't know.
The lorry driver is alleged to be part of a global smuggling ring.
Pia Klemp said: "We do not need authorities deciding who is a 'hero' and who is 'illegal'.”
Mexican newspaper La Jornada has published a photo of a man and his small daughter who drowned trying to cross the Rio Grande river from Mexico into the US. The migrant crisis at the border has become increasingly dire as the Trump administrations zero-tolerance policy on illegal immigration has led to families being seperated at the border. The US House of Representatives on Tuesday passed a $4.5 (£3.3) billion emergency border aid package to care for thousands of migrant families and unaccompanied children detained after crossing the US-Mexico border.
The 5% tax on all Mexican goods was supposed to begin Monday, but Trump reached an agreement with Mexico to reduce illegal immigration.
Diane Abbott promises to end Theresa May's 'hostile environment' policy.
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The Home Office errors have been described as 'cruellest examples of state power targeting the vulnerable'.
PM accused of using civil servants as shields and conflating Windrush Britons with illegal immigrants.