RPatz in constant touch with his Twilight costar Kristen Stewart

With heavy security all around him, Robert Pattinson made his arrival to the set of his new movie Remember Me in Manhattan Wednesday morning.

Screened by an umbrella, the Twilight hunk was well protected by the on-set crew, hoping to avoid another fan-mauling as has occurred in previous days.

In related news, it's being reported that RPatz has been keeping in constant contact with his Twilight sweetheart Kristen Stewart while staying on different coasts.

"It's no secret that their relationship has been heating up these past few months.

They are attracted to each other, and there is definitely something very special going on between them," an insider tells.

"Rob is constantly texting and calling Kristen to 'check in'. 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."