
On Thursday night, the couple and three friends arrived around 10 p.m. to Market, a Jean-Georges restaurant at downtown Vancouver's Shangri-La Hotel.
Fellow diner DJ Leanne, a Vancouver-based deejay, tells PEOPLE, "Whenever they were speaking, they had their hands on each other's knees underneath the table, and they were holding each other's hands underneath the table."
She adds: "They were very cute. They really looked like a couple, and that they were 'together.'"
Zellweger, 40, and Cooper, 34, who didn't enter Market through its front doors, were seated with their friends at a round banquette, but sat on chairs with their backs facing the restaurant to remain low-key.
But it was evident "Renée was very happy," says DJ Leanne. "She was laughing, smiling. They were very cute. They were definitely having a good time and seemed happy."