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O’Reilly, Letterman Agree on Iraq and High-Five (Video)

"We're having a good conversation, siddown," O'Reilly says before relenting

Occasional adversaries Bill O'Reilly and David Letterman found something to agree on during O'Reilly's "Late Show" appearance Thursday — and even agreed to high-five.

Even if they couldn't agree on why they should high-five.

After Letterman argued that the U.S. invasion of Iraq turned it into a "hotbed of terrorism," O'Reilly expressed regret that it took place.

"I think that that was something that should not have happened in hindsight… but I will say that I supported it because all the reportage was that Saddam Hussein did have these weapons," O'Reilly said.

Letterman decided the moment called for a high-five, standing up and holding out his hand as he cried, "Come on, Billy!"

O'Reilly refused, explaining, "I'm not high-fiving you on a war."

Letterman kept trying to coax him out of his seat, saying it was just because, "we're feelin' good and happy to see each other."

"We're having a good conversation, siddown," O'Reilly said.

The remark drew laughter and some louds "ohs" from the audience. After an awkward moment of silence — in which Letterman remained standing — O'Reilly relented.

It was a much friendlier exchange than some of the past ones between the oft-cranky talk show hosts. In 2009, Letterman told O'Reilly, "I think of you as a goon." In 2006, he told him, "about 60 percent of what you say is crap."

Watch their meeting of the minds, and hands: