So far, the underlying standoff remains the same. Republicans demand talks on deficit reduction and Obama's 2010 health care law as the price for boosting the government's borrowing authority and returning civil servants to work. The president insists that Congress first end the shutdown and extend the debt limit before he will negotiate.
"Speaker Boehner could end this government shutdown today, an hour from now" by letting the House vote to do so, Senate Majority Leader Harry Reid, D-Nev., said Wednesday of House Speaker John Boehner, R-Ohio.
Don Stewart, spokesman for Senate Minority Leader Mitch McConnell, R-Ky., said GOP senators hoped Obama's desire to meet with them meant he was willing to bargain.
"But if this is a meeting where he simply reiterates that he won't negotiate, this meeting will not be productive," Stewart said.
On Tuesday, Boehner told reporters he was not drawing "lines in the sand." He sidestepped a question about whether he'd raise the debt limit and fund government for short periods by saying, "I'm not going to get into a whole lot of speculation."
Hours later, Obama used a White House news conference to say he "absolutely" would negotiate with Republicans on "every item in the budget" if Congress first sent him short-term measures halting the shutdown and the extending the debt limit.
"There's a crack there," Boehner said of the impasse late Tuesday, though he cautioned against optimism.
The White House said Obama would reach out to Boehner's House Republicans in the coming days with an invitation to the White House. He also intends to meet with senators of both parties, officials said.
A White House sit-down with Republican and Democratic congressional leaders last week yielded no progress. But the stakes are growing higher.
The financial world is flashing unmistakable signs that it fears Washington's twin battles could hurt the economy.
On Wednesday, the International Monetary Fund's financial counselor, Jose Vinals, said a failure by Congress to raise the federal debt ceiling and a subsequent U.S. default would cause "a worldwide shock."
Also, the National Retail Federation became the latest business group to urge lawmakers to quickly end their standoff. In a letter to congressional leaders, federation President Matthew Shay wrote Congress must "reverse the economic crisis it has created through the shutdown while it is still a short-term crisis and not the beginning of another recession."
The Obama administration has said that unless Congress acts, it expects to have an estimated $30 billion in cash left by Oct. 17. That is pocket change for a government that can spend tens of billions more than that on busy days and $3.6 trillion a year.
Hitting that date without congressional action would risk an unprecedented federal default that would wound the economy and deal lasting harm to the government's ability to borrow money, many economists warn. Some Republicans have expressed doubt that the damage would be as severe.
In the House, Republicans were continuing their tactic of pushing through narrowly targeted bills — over Democratic objections — that would restart popular parts of the government.