The couple beamed for the cameras as they arrived holding hands at the exclusive Wolseley restaurant on the capital's Piccadilly.
The dating rumors started when the two were seen being affectionate towards each other at Kenny Chesney concert in Nashville.
preview screening on Tuesday (September 26) at BAFTA in London, England.
The 30-year-old actor was joined at the event by his co-stars Liv Tyler and Edward Holcroft.
The sports agent, whose best pal is David Beckham, wore a pair of black trousers and matching T-shirt, adding a black velvet jacket to smarten up the outfit.
It was an adults' only night out in London as there was no sign of the couple's two young kids, Sailor Gene, two, and Lula Rose, one, or their two sons from former marriages; Liv’s 12-year old Milo, and Dave’s 10-year old Grey.