07/22/2008 AT 03:05 PM EDT
Ladies, form an orderly line: Aaron Eckhart is single – and he isn't limited by geography in his search for a partner.
Asked at Monday's Leicester Square premiere of The Dark Knight if he'd ever settle down in London, Eckhart joked to reporters: "What's her name?"
"It's all about the girl," he added.
Eckhart, 40, spent part of 2004 in London, appearing in the play Oleanna, opposite Julia Stiles. He also attended high school at an international school in Surrey, just south of London.
Eckhart was engaged to actress Emily Cline, whom he met in 1997's In the Company of Men. The pair split in 1998.
Most recently, he dated Kristyn Osborn of the country group SHeDAISY. He appears in the group’s video I'm Taking the Wheel.