Two of Spain's brightest film stars have wed -- Penelope Cruz, 36, and Javier Bardem, 41, tied the knot in the Bahamas earlier this month, the couple's rep confirms to PEOPLE.

The couple, who starred together in Woody Allen's 'Vicky Cristina Barcelona,' have "always kept their romance under the radar -- and their intimate wedding was equally low-profile," the magazine reports. They married for a small audience of family members at a friend's island home.

Cruz's gown was by close friend John Galliano.