Despite all the rumors of her hooking up with co-stars Matt Damon and Joaquin Phoenix over the years, there’s still only one man in Eva Mendes‘ life and that’s her longtime beau, filmmaker George Gargurevich.

The couple has been dating entirely on the down-low for the past six years, but it sounds like George is ready to be seen and heard.

George, who directed Eva in his 2005 flick 3 & 3, was overheard dropping his lady love’s name at the Hotel Cafe last week when introduced to a mutual friend. “He said, ‘Oh, I think you know my girlfriend,’ ” an eavesdropper tells OK!. “When the girl asked who, he said, ‘Eva Mendes.’ ”

As for Eva, the 34-year-old recently completed a rehab stint at the Cirque Lodge and has a much-anticipated film coming out later this year, The Women.

“She’s fabulous. She’s hilarious,” co-star Debra Messing says of Eva. “[It’s a] remake of the original film from the ’30s, and it’s a modern adaptation about a woman whose husband is having an affair. Eva plays the mistress.”

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