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George Clooney, Amal Alamuddin

Rachel Murray/Getty Images

The love is definitely in the air for George Clooney and his bride-to-be Amal Alamuddin.

After gushing about his fiancée at the Celebrity Fight Night Gala over the weekend, Clooney and his future wife went out for an "intimate" Italian dinner date at Harry's Bar on Tuesday night.

An eyewitness tells E! News that the couple were "all smiles as they made their way inside the restaurant and looked very much in love" as they cozied up to each other at one point. "Amal showed off her huge engagement ring as the pair shared a romantic moment," the insider added, noting that they were there for a couple of hours and that George frequents Harry's often while in Italy.

The pair made their first red carpet appearance over the weekend, and their romantic evening out on the town was overflowing with PDA.

Clooney gushed about his lady while giving a speech at the event, telling the crowd, "I've met my bride-to-be in Italy and I will be married in Italy soon, in a couple of weeks. In Venice of all places! In closing, I guess what I would like to say is to my bride-to-be, Amal, that I love you very much and I can't wait to be your husband."

A guest told E! News, "She seemed so touched and overwhelmed and at that moment they looked right at each other and it was as if there was no one else in the room."

—Reporting by Michelle Falls