updated 01/17/2005 AT 01:00 AM EST

originally published 01/17/2005 AT 01:00 AM EST

If you believed the rumors, the four-year marriage of Jennifer Aniston and Brad Pitt was, if not on the rocks, veering dangerously close to the guardrail. There was Jen at the L.A. airport late last month—without her hubby or her diamond-studded wedding band. Earlier there she was shopping—alone again—in London, where she'd been shooting her new thriller Derailed while Brad was off promoting Ocean's Twelve. Even after her rep Stephen Huvane insisted, "Everything is fine with Jennifer and Brad," the naysayers persisted.

The latest sighting of the couple (yes, together at last!)—in warm embrace on the Caribbean isle of Anguilla over New Year's weekend—might just change their minds. A source close to the action says Aniston, 35, and Pitt, 41, "were quite lovey-dovey, basically all over each other, hugging and kissing." The couple had been hanging out since Dec. 31 with Jen's former Friends costar Courteney Cox Arquette and husband David Arquette at a private villa. "On New Year's Day," says the source, "Brad and Jen went on a little speedboat ride with Courteney," whose daughter, 7- month-old Coco, stayed behind with a nanny. Later that day Brad was seen tooling around on a moped. Alas, by Jan. 4, the romantic reunion was over: Pitt was off to Miami to attend the Orange Bowl, while Aniston was due back in L.A. to start a new movie.

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