Jennifer Lopez, Marc Anthony Together Again – in Hamptons

updated 08/11/2011 AT 4:00 PM ET

originally published 08/11/2011 AT 1:00 PM ET

The backseat of a red Mustang convertible cushioned the reunion of the recently split couple Jennifer Lopez and Marc Anthony, who on Wednesday were seen together in the snazzy vehicle near Sagg Main Beach in Southampton, N.Y.

The sighting (TMZ has the pic) – which instantly raised questions about the status of the estranged duo’s relationship – comes nearly a month after Lopez and Anthony announced exclusively to PEOPLE, “We have decided to end our marriage” after seven years.

Only a reconciliation apparently wasn’t the reason for the Hamptons get-together. “The intention was to spend time with his kids Emme and Max, and they had a beautiful time. He’s been with Max and Emme a few times now,” Anthony’s rep tells PEOPLE.

In addition to his twins with Lopez, 3-year-old Max and Emme, Anthony is father to three older children from previous relationships.

This week also brought the news that Lopez is returning to American Idol next season.

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