Penelope Cruz is dating 'Goya's Ghosts' star Javier Bardem.

The "Volver" actress was accompanied by her new boyfriend to the New York Film Festival at the weekend, and despite trying to keep a low profile, they couldn't keep their hands off each other.

One onlooker told the New York Post newspaper, "They were very touchy-feely. They held hands when they thought no one was watching, and she kissed his cheek, and he put his arm around her."

The happy couple were joined by Bono on Saturday night for the premiere party of Javier's new film "No Country for Old Men" at Gabriel's restaurant.

Penelope, 33, and Javier, 38, sat in the back room all night and left together. Representatives for both stars declined to comment.

The two Spanish actors met on the set of Woody Allen's new Spanish film, co-starring Scarlett Johansson, which is due out next year and is as yet untitled.

Penelope has previously dated Tom Cruise, Matthew McConaughey and was linked earlier this year to British heartthrob Orlando Bloom.

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