Robert Pattinson is rumored to be indulging in an off-camera romance with a co-star from the new movie he is filming in Toronto.

Britain's Mirror reported on Monday that Pattinson, 27, has been "getting cozy" with his Map To The Stars co-star Sarah Gadon.  A source told the British newspaper that Pattinson and Gadon "have an obvious chemistry."

The pair became so friendly during shooting that not only do they spend time together off the set, but she also helped him find a temporary rental property while filming in Toronto.

"Sarah helped Rob choose a cool waterside property during filming and they have been hanging out a lot wherever possible," the insider told Mirror. "They laugh a lot."

The source also said the pair is "very serious about their work and have been discussing their roles and rehearsing loads together, one on one."  

The insider made it clear that although Pattinson and Gadon have "similar backgrounds" and "would make a very cute couple," the British hunk is not rushing to start a new relationship, following his May split with his Twilight co-star Kristen Stewart. The former couple severed ties after a four-year off-and-on relationship.

"He and Sarah are still very much just friends," the source explained to Mirror, but mentioned there is still a chance the costars could become more than friends in the future. 

Insiders described Gadon to the Mirror as a "stunning girl-next-door type". She appeared alongside Pattinson in 2012's Cosmopolis.  Gadon played his character's onscreen wife.

Pattinson was photographed over the weekend chatting and smiling with Mia Wasikowska, another Map To The Stars co-star. Wasikowska (Alice In Wonderland) and Pattinson were snapped at the OK OK Diner in Toronto, between takes for the film directed by David Cronenberg. The actor plays a struggling musician who moonlights as a limo driver. Wasikowska plays his onscreen love interest. 

View the photo of Pattinson with Mia Wasikowska here.

Pattinson was rumored in June to have rekindled his romance with his Remember Me co-star Emilie De Gavin. The pair dated while filming the movie together in 2010.