Former New York Mayor Rudy Giuliani (R), the failed front-runner for the 2008 GOP presidential nomination, wouldn't rule out running for president again in 2012.

"No one knows whether you'll do something again until you come to the point of: 'Is it possible to do it again? Would you have a chance of winning?'" Giuliani said in Dubai on Sunday, according to the Associated Press. "I mean those are just things you can't evaluate right now."

Another bid for Giuliani seemed unlikely after he won just a single delegate in primaries this year. Then again, Giuliani sounded open to anything, including a spot in President-elect Barack ObamaBarack Hussein ObamaHow Democrats can defy the odds in 2022 Biden is thinking about building that wall — and that's a good thing White House races clock to beat GOP attacks MORE's White House.

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"You never answer questions like that hypothetically," Giuliani said when asked whether he would accept a post in the Democrat's administration. "Very few people ever turn the president down, but that's an unrealistic situation."

A more plausible path for Giuliani involves a 2010 run for New York governor.

"I don't know if I'd be interested in it, but I'll think about it when the right time comes along," Giuliani said when asked about it.