Oprah Winfrey has extended an olive branch to

David Letterman, just as the duo's very public tiff had started to get ugly. On Friday's Late Show, Letterman announced that Winfrey had finally invited him to appear on her program — an offer he has yet to formally accept. "It can't possibly happen because that would screw up the Super Bowl of Love," he said. "Because here's what would happen: I would go on the Oprah show and I would break down and sob like a little girl."