Obama, McCain Meet While Bill Speaks About Hillary

Obama and McCain designated the two as go-betweens for what, one Obama aide later said, "could be the beginning of a great working relationship" for the 2008 presidential rivals.

Sources said the meeting was about fostering an era of bipartisan cooperation that Obama has insisted upon since his victory.

And as the buzz about Obama's Cabinet members continued, so did speculation about Sen. Hillary Clinton, D-N.Y., becoming America's next top diplomat.

One possible roadblock was seen in Bill Clinton's complex web of international business dealings for his personal income and philanthropic endeavors, such as the William Jefferson Clinton Foundation and the Clinton Library. Obama aides are concerned about the possible conflicts of interest those relationships may pose.

With not a little irony, the former president, at the National Bank of Kuwait's annual symposium this weekend, made his first public remarks about his wife possible serving as secretary of state. The 42nd president can command up to $300,000 per speech.

Clinton did not divulge details of his wife's meeting with the president-elect, but did say that "if he decided to ask her to do it and they did it together, I think she'd be really great as a secretary of state." He also added that Hillary did not campaign for Obama "with the hope or expectation of getting any kind of job offer."

But ABC News has learned that the Obama transition team and Clinton's team have made significant progress in this possibly troubling area, with the Clintons willing to hand over some of Bill Clinton's financial information for vetting, and that Obama is increasingly optimistic about the possible partnership, as is Hillary Clinton.

The talk about Clinton being offered the job started last Thursday when she flew to Chicago to meet her former opponent at his Chicago office. The New York senator declined to comment on the issue, saying that all inquiries should be directed to Obama's transition team.

"She is somebody who I needed advice and counsel from. She is one of the most thoughtful public officials that we have. Beyond that, you're not getting anything out of me," Obama said in CBS' "60 Minutes" interview Sunday.