Paulson briefed House Speaker Nancy Pelosi and other congressional leaders at a meeting on Thursday night. Following the meeting, Paulson said the group's discussion focused on financial institutions' illiquid assets. "What we are working on now is an approach to deal with the systemic risk and stresses in our capital markets," Paulson said.

"As we've said for some time, the root cause for the stress in the capital markets is the real estate correction and what's going on in terms of the price declines in real estate," he said. "We're coming together to work on an expeditious solution, which is aimed right at the heart of this problem, which is illiquid assets on financial institutions' balance sheets."

Charlie Gasparino breaks the story on Paulson's plan. Watch the accompanying video.

A Treasury statement said Paulson and Bernanke were exploring all options available to them and would work with congressional leaders through the weekend. A government official speaking to CNBC ruled out any formal announcements Thursday or Friday.

The meeting, held at Pelosi's office, included House Financial Services Chairman Barney Frank, Senator Majority Leader Harry Reid, other Senate and House leaders from both political parties, Federal Reserve Chairman Ben Bernanke, and SEC Chairman Christopher Cox.

The Bush administration wants to make sure Congress is behind the idea before it moves ahead on the plan, a source told CNBC. Pelosi, a Democrat, said in a letter to Bush Thursday that the worsening economy demands another bipartisan economic recovery effort, and that Congress will stand ready beyond the Sept. 26 scheduled adjournment date to consider legislation.

The creation of a government facility for bad debts, according to its advocates, would allow banks to shovel bad debt off their balance sheets and allow the firms to go back to business as usual. It would also eliminate the need for individual company bailouts.

In turn, that could allow the housing market to recover because it would restore banks willingness to lend.

A federal government plan could also involve FDIC-type protection for money market funds, according to a report in the Wall Street Journal.

"This will bring real trust back into the market." Donald Marron, chairman of Lightyear Capital, said on CNBC. "It would free up real, spendable capital in these organizations. They can use that to make loans, to make transactions and to build confidence in the system. This is a confidence crisis."

The news sparked a big rally in stocks after a day in which investors remained nervous about the spreading effects the global credit crisis.

The Treasury Department and Federal Reserve, which engineered an $85 billion rescue plan for insurer American International Group earlier this week, declined to comment.

The aide also pointed to an opinion piece in Wednesday's Wall Street Journal by former Federal Reserve Chairman Paul Volcker, former Comptroller of the Currency Eugene Ludwig and former Treasury Secretary Nicholas Brady in which they said such a body could buy up troubled real estate debt to get credit markets working again.

For Investors

However, getting Congress to approve such a plan quickly would likely be difficult because lawmakers plan to leave by the end of the month to campaign for the Nov. 4 election.

White House spokeswoman Dana Perino declined to comment on what steps, if any, the Bush administration was considering.

She also questioned whether doing something in the middle of a market correction was wise and acknowledged it could be difficult to approve something quickly.