The move is the latest step in what looks like an A-list game of musical chairs with Theron, Jolie and Tom Cruise the main players.
Cruise was formerly attached to Tourist, but dropped out with Sam Worthington now in for the story of an American vacationer who, on behalf of Interpol, goes undercover to entrap a former lover who's a suspected global criminal.
Cruise had also previously been attached to Salt, which Jolie has just wrapped. Jolie stepped in to replace Cruise in that film in a rare script change that shifted the main character from a man to a woman.
Meanwhile, Jolie has often had her name bandied about in conjunction with a big-screen adaptation of Ayn Rand's Atlas Shrugged. Lately, however, Theron's name has come up as a potential to play protagonist Dagny Taggart.
In any case, The Tourist is seeking a director, as Bharat Nalluri, who had been attached to direct, is as of last week off the project, Biz says.
Neither Spyglass nor the director or actresses' reps could immediately be reached for comment by the blog. Production has been tentatively set for early 2010.