Kit Harington and Rose Leslie
Kevin Winter/Getty; Jonathan Short/AP
08/27/2012 AT 10:15 AM EDT
Have Game of Thrones
costars Kit Harington and Rose Leslie taken their blossoming love story south of the wall
The pair enjoyed a dinner date at London's Rossopomodoro restaurant earlier this month, and engaged in a little PDA at the table, according to TMZ.com.
Seems the couple's on-screen chemistry, as Jon Snow and Ygritte, may have spilled over into real life. Game of Thrones
is a change of pace for Leslie, 25, a Scottish actress best known for her role as the ambitious but insecure housemaid Gwen on Downton Abbey
Meanwhile, Harington, also 25, who hails from London, is just getting used to the spotlight, and all the interest in his personal life that comes with it.
"I have a wild streak, but I like to keep that very much for my friends," he told the Daily Beast
earlier this year. "I love going out. I love partying ... I can't be the Kit in public that I might have been once."