Kate Hudson and Matt Bellamy sure know how to mix work and play.

The engaged pair enjoyed some time together at a party before the Tribeca Film Festival premiere of Hudson's latest flick, "The Reluctant Fundamentalist," on Monday.

According to a witness, the actress and Muse frontman showed up arm-in-arm to the soiree, held at Gold Bar, then sat together in a back booth drinking Wines of Argentina and chatting with director Mira Nair and Hudson's co-star Riz Ahmed.

The duo "looked very happy together," said the spy, adding that Bellamy didn't leave his gal's side.

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