The actress, who played Stacey in the award-winning sitcom, said that she would consider starring in a "gritty" show like Cracker or Prime Suspect.
She told What's on TV: "I love crime dramas and I've just filmed a Marple. I was over the moon because I got to discover a body and do some screaming.
"I'd like to be in True Blood, too. It's my favourite programme and I fancy all the vampires."
Page appeared in 2003 film Love Actually before the success of Gavin & Stacey.