03/09/2012 at 06:00 AM EST
and boyfriend Simon Konecki
enjoyed a romantic dinner date night at Rasoi, an Indian restaurant in London. The two shared a mix of vegetarian and chicken dishes at the Michelin-starred eatery, and even took some of their food home in doggy bags.
The Grammy winner
was friendly to the staff, with onlookers remarking about how "in sync" she was with her new beau. And although the pair didn't kiss in public, a source tells PEOPLE, "They just had a nice, friendly, happy meal, and were very much like an ordinary couple who seemed very relaxed in each other's company, with lots of laughing and joking."
Adds the source: "They seem very much [to be] a happy couple." – Phil Boucher