The 'Twilight' couple split this summer after the actress confessed to a momentary "indiscretion" with her 'Snow White and the Huntsman' director Rupert Sanders.
She issued a public apology to the hunk, who went into hiding before re-emerging to promote his movie 'Cosmopolis'.
However, the pair sparked rumours of a reunion at the weekend after they were spotted at a Los Angeles bar.
Onlookers at the Ye Rustic Inn revealed Robert and Kristen looked like they were very much in love again.
The news came just two months after the actress splashed out £1.4m on a four-bedroom property in L.A. - but now the stars are considering crossing the pond to escape the glare of the spotlight.
The Sun reports Robert recently took his girlfriend on a trip to Cornwall, where he used to holiday as a child - and the pair fell in love with the place.
A source said: "When Robert was growing up the whole family would go away on idyllic holidays to Falmouth, Truro and Newquay so he's always thought of the area fondly.
"A few weeks ago, he took Kristen to Lizard Point for a four-day trip and hardly anyone bothered them. They had a fabulous few days just being normal. They agreed to buy a bolthole there and, after setting their hearts on a couple of remote cottages, are hoping to finalise on one soon.
"It's yet another sign they're firmly back on track as a committed couple and not looking back."
Also on HuffPost:
Suggested For You
SUBSCRIBE AND FOLLOW
Get top stories and blog posts emailed to me each day. Newsletters may offer personalized content or advertisements.Learn more