Wed, 17 June 2009 22:33:52 ET

Rumors of Robert Pattinson dating his "Twilight" co-star Kristen Stewart keep swirling because a source close to the couple gives more hints of their romance. "Rob is constantly texting and calling Kristen to 'check in,'" the source tells OK! Magazine for its Thursday, June 18 issue.
"He's invited her and their 'New Moon' co-star Dakota Fanning to fly to New York and hang out with him and his friends some weekend - his treat," the source adds. Pattinson currently is in New York City to film "Remember Me", while Stewart returns back to Los Angeles to work on "The Runaways".
Additionally, the source claims both of them aren't just friends. "It's no secret that their relationship has been heating up these past few months," the source tells . "They are attracted to each other, and there is definitely something very special going on between them."
Recently, Robert Pattinson reportedly asked Kristen Stewart to choose between him and her actor boyfriend Michael Angarano. The British hunk was said expecting the resolution by the time he and the 19-year-old beauty will fly to Vancouver, Canada this fall to film "Eclipse".
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