If the two sides don't agree on a bill over the weekend, Obama said he wants his latest proposal to be put up for a vote in both the Senate and House. He predicted his plan -- which, in addition to his tax rate proposal, would extend unemployment benefits and "lay the groundwork" for deficit reduction -- would pass in both chambers with bipartisan support.

As members of Congress and their staffs talk, Obama will make his case to the public by appearing Sunday on NBC's "Meet the Press," his first appearance on a Sunday political talk show in three years. The appearance follows his weekly radio address, given Saturday, in which he said it was Republicans' "prerogative" to "let this tax hike hit the middle class," while Republican Sen. Roy Blunt of Missouri countered by accusing Democrats of spending "months drawing partisan lines in the sand."

Reid said, at the very least, that he'd prepare legislation that includes elements favored by Obama for a vote by Monday. Still, he insisted he'd first work with his GOP colleagues.

"I look forward to hearing any good-faith proposals Sen. McConnell has for altering this bill," the Nevada Democrat said.

If no legislation passes both chambers and therefore isn't signed by the president by year's end, the fiscal cliff will go into effect -- something economists warn could trigger a recession.

The lack of political movement thus far, and lack of confidence Washington politicians can get anything done with so little time left, has spurred consumer confidence to sag and stock market values to sink.

Some, like Democratic Sen. Chuck Schumer of New York, expressed cautious optimism Friday that the looming deadline, and the key players renewed engagement, would spur a deal. But others were less optimistic, with Democratic Rep. Jim Moran of Virginia saying Saturday that "I don't think we are going to be able to reach a deal, no matter how small it might be."

Republican Sen. Bob Corker of Tennessee derided the entire process so far as "a total dereliction of duty on every level."

"I've been very surprised that the president has not laid out a very specific plan to deal with this," he said on CBS "This Morning."

"But candidly, Congress should have done the same. And I think the American people should be disgusted."