Mandi Bierly
December 27, 2010 AT 09:21 PM EST

LeAnn Rimes and Eddie Cibrian got engaged over the holidays, her rep tells People. Rimes, 28, sported a large diamond ring on a Malibu beach Monday. During a sitdown with ABC’s Robin Roberts that aired last month, the couple, who met filming the Lifetime movie Northern Lights while both were married, said they hoped the fact that their romance continued a year and a half later could turn their affair from a tabloid story to a love story. Both Cibrian, 37, and Rimes, however, said they wouldn’t be surprised if it didn’t: “Well, I can’t change their minds. Nothing I’m going to say is gonna change it. I do know that, and I have accepted that,” Rimes said when asked how she’d respond to people who consider her a homewrecker. “It happens every day to so many people. And if I take away my album sales, my awards, and you have just another couple — you have two couples whose marriages didn’t work, who really stumbled upon each other and fell in love. And never ever was I thinking of hurting someone.”

Cibrian shares custody of two sons, 7 and 3, with his ex, Brandi Glanville. Rimes’ ex, Dean Sheremet, announced his own engagement last month.

Read more: Eddie Cibrian on LeAnn Rimes: ‘We’re madly in love. And I think people are finally seeing that.’

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