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House Speaker John Boehner said Tuesday he is willing to negotiate budget issues with President Barack Obama without any conditions.
"I'm not drawing any lines in the sand," the Ohio Republican told reporters.
Boehner spoke to reporters as the government's partial shutdown entered the eighth day. An even bigger financial crisis looms next week when the government reaches the limit of its authority to borrow money.
Shortly after, an aide to Boehner said that Obama called the speaker and reiterated that he won't negotiate on the shutdown or the debt ceiling.
Republicans have said they want changes to Obama's signature health care law in exchange for reopening the government. They have said they want spending cuts in exchange for raising the debt limit.
"All we're asking for is to sit down and have this conversation," Boehner said.
Democrats controlling the Senate are planning to try to pass a stand-alone measure to increase the government's borrowing cap, challenging Republicans to a filibuster showdown that could unnerve financial markets as the deadline to a first-ever default on U.S. obligations draws closer.
A spokesman said Senate Majority Leader Harry Reid could unveil the measure as early as Tuesday, setting the table for a test vote later in the week. The measure is expected to provide enough borrowing room to last beyond next year's election, which means it likely will permit $1 trillion or more in new borrowing above the current $16.7 trillion debt ceiling that the administration says will be hit on Oct. 17.
It's not clear whether Reid's gambit will work. Republicans are expected to oppose the measure if it doesn't contain budget cuts to make a dent in deficits. The question is whether Republicans will filibuster the measure.
(Read more: No US default? Don't bet on it)
Until recently, debt limit increases have not been the target of filibusters; the first in memory came four years ago, when Democrats controlled the Senate with a filibuster-proof 60 votes.
Many Republicans in the Senate, including Minority Leader Mitch McConnell of Kentucky and Whip John Cornyn of Texas, have voted for so-called clean debt limit increases during Republican administrations.
(Read more: Six dangerous myths about the debt ceiling)
Some Republicans seemed wary of participating in a filibuster that could rattle the stock and bond markets.
"We shouldn't be dismissing anything out of hand, whether it's the debt ceiling or what we're going to do with this government shutdown," Sen. Lisa Murkowski, R-Alaska, said. "We've got a situation where you've got a calendar running, you've got people who are frustrated and upset, so let's figure it out."
The impasse over the shutdown—sparked by House Republicans' insistence that a temporary funding bill contain concessions on Obama's health care law—shows no signs of breaking, as each side sticks to its guns and repeats its talking points.
Democrats from Obama on down to the most junior lawmakers said again that the House should vote immediately on ending the partial closure of the government. Obama said Boehner "doesn't apparently want to see the ... shutdown end at the moment, unless he's able to extract concessions that don't have anything to do with the budget."
(Read more: Boehner takes a hard line in call for concessions)
Boehner, in rebuttal, called on Obama to agree to negotiations on changes in "Obamacare" and steps to curb deficits, the principal GOP demands for ending the shutdown that began with the Oct. 1 beginning of the new fiscal year, and eliminating the threat of default. "Really, Mr. President. It's time to have that conversation before our economy is put further at risk," Boehner said on the House floor.
The White House has said repeatedly the president will not negotiate with Republicans until the government is fully reopened and the debt limit has been raised. But it hasn't said the debt limit measure has to be completely "clean" of add-ons.
White House aide Jason Furman told reporters the White House could accept some add-ons if Boehner "needs to have some talking point for his caucus that's consistent with us not negotiating ... that's not adding a bunch of extraneous conditions." Another White House official, Gene Sperling, said the administration could be open to an interim, short-term debt limit extension to prevent a catastrophic default.
(Read more: White House open to short-term debt deal)
Republicans were sticking with a strategy of trying to pin the blame for the shutdown on Obama for being unwilling to negotiate. The House also passed legislation Monday to reopen the Food and Drug Administration, the latest in a series of piecemeal funding bills to advance through the GOP-controlled chamber.
It's been commonly assumed that Republicans would suffer politically from the shutdown and the early polling data seems to bear that out.
A survey released Monday by The Washington Post and ABC News said disapproval of Republican handling of the budget showdown was measured at 70 percent, up from 63 percent a week earlier. Disapproval of Obama's role was statistically unchanged at 51 percent.
(Read more: Howard Dean: Debt fight helps Obama)
Meanwhile some 350,000 civilian Defense Department workers were summoned back to work Monday as the result of legislation Congress passed and Obama signed after the shutdown began. Other agencies, like NASA and the Environmental Protection Agency, remain mostly shuttered.
(Read more: Shutdown lowdown: Sizing up the federal furloughs)
—By The Associated Press.