Rob & Kristen Keep It Cool, and Together, in NYC

Stewart stays in Manhattan with Pattinson, while he works the press for Remember Me

As Robert Pattinson continues to promote Remember Me, one girl seems to constantly be at his side when the day's over: Miss Kristen Stewart, of course.

After spending practically every moment together over in London, Kristen hopped a flight with Rob from Heathrow airport, landing at JFK together last Friday.

So has she been hanging around New York City during Rob's grueling press jaunt? You bet!

Even though Pattinson had two long days this weekend working the press junket for Remember Me (and is gearing up for the world premiere tonight), he has been finding time to relax with those closest to him.

Last night a group of people—including Robsten and their friend Tom Sturridge—apparently went to cute and quaint eatery Locanda Verde in Tribeca.

Twitter was on fire as various people tweeted claims of Robsten sightings.

So were they really there? A PR rep for the restaurant declined to comment:

"We cannot confirm that the Twilight stars were at Locanda Verde this weekend, no. The restaurant remains discreet about these things."

The paparazzi may be more relaxed in London, but restaurants here in the States still totally protect their celeb clientele. Hey, we're cool with that!

Still, reliable sources inside the restaurant swear the lovebirds did pop in.

"[Kristen and Rob] were with about eight people," says a lucky R&K spotter. "They sat close together in the same booth."

So were they squeezing in any kisses behind their friends' backs?

"They weren't overly affectionate," fesses our eyewitness.

Ugh, are you as sick of that phrase as we are?! Adds our undercover spy:

"Kristen looked really happy, though."

Too fab! So, any chance Kristen will walk the carpet at Rob's premiere tonight? We say no—but hey—we totally doubted K.Stew's NYC layover. Still, we think there's a better chance the gorgeous gal will sneak into the afterparty instead.

Rob has to head back overseas soon to continue filming Bel Ami, while Kristen is due back in LA this weekend to present at the Oscars. Get your lovin' in while you can you two!