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07/23/2012 at 06:00 AM EDT
Adrien Brody kept things low-key on Thursday night when he popped into The Pikey, one of West Hollywood's newest bars and restaurants.
Clad in jeans and a T-shirt, the Academy Award-winning actor was "attached at the hip to an unidentifiable, simple-but-cute-looking, long-haired brunette the entire night," an onlooker tells PEOPLE. "She definitely didn't seem like someone he randomly met at the bar. They seemed like they came there together."
While there was no overt PDA between the pair, "there were several instances where they leaned in close to each other over the table to look at each others' cell phones and things like that," the source says.
There were a few other guys at the table who seemed like they were with Brody and his guest, but the insider says, "He didn't pay much attention to them. He devoted all his attention to the girl."
– Dahvi Shira