Shia LaBeouf & Carey Mulligan Costarring Off-Screen Too?

Shia LaBeouf & Carey Mulligan Costarring Off-Screen Too?
Carey Mulligan and Shia LaBeouf
Adam Nemser/Photolink

08/25/2009 AT 10:50 AM EDT

They're starring together in producer-director Oliver Stone's Wall Street sequel, Money Never Sleeps, now shooting in New York , but Shia LaBeouf and Carey Mulligan are also awakening rumors of a possible budding romance.

Flaming the reports: the sight of the two of them cuddling and kissing Sunday afternoon at Extra Virgin, a sidewalk cafe in the heart of Greenwich Village.

British actress Mulligan, 24, was recently seen in Public Enemies, while LaBoeuf, 23, starred in the summer release Transformers: Revenge of the Fallen.

"They looked happy" said one source.

As for the status of their relationship, LaBoeuf's rep had no comment.

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