Reid said there had been an agreement at a White House meeting Thursday night to cut spending by about $38 billion. He said Republicans also were demanding unspecified cuts in health services for lower income women that were unacceptable to Democrats.
"Republicans want to shut down our nation's government because they want to make it harder to get cancer screenings," he said. "They want to throw women under the bus."
Boehner said repeatedly that wasn't the case — it was spending cuts that divided two sides.
"Most of the policy issues have been dealt with, and the big fight is about spending," he said. "When will the White House and when will Senate Democrats get serious about cutting federal spending."
By midday Friday, 12 hours before the funding would run out, most federal employees had been told whether they had been deemed essential or would be temporarily laid off in the event of a shutdown.
The military, mail carriers, air traffic controllers and border security guards would still be expected at work, although paychecks could be delayed.
National parks and forests would close, and taxpayers filing paper returns would not receive refunds during a shutdown.
Passports would be available in cases of emergencies only.
Obama canceled a scheduled Friday trip to Indianapolis — and a weekend family visit to Colonial Williamsburg in Virginia — and kept in touch with both Boehner and Reid.
Senate Republican Leader Mitch McConnell of Kentucky sounded hopeful, predicting an agreement and saying, "I assure you, these are not unresolvable issues."
The House passed legislation on Thursday to keep the government running for another week while also cutting $12 billion in spending — and providing enough money for the Pentagon to operate through Sept. 30.
Boehner urged Obama to reconsider a veto threat.
That seemed unlikely, although Republicans and Democrats alike talked of trying once more to pass a stopgap bill if the larger agreement remained elusive.
Obama has already signed two of those interim bills, which included a total of $10 billion in spending cuts.
The standoff began several weeks ago, when the new Republican majority in the House passed legislation to cut $61 billion from federal spending and place numerous curbs on the government.
In the weeks since, the two sides have alternately negotiated and taken time out to pass interim measures.
Originally, Republicans wanted to ban federal funds for Planned Parenthood, a health care services provider that is also the nation's largest provider of abortions.
Federal funds may not be used to pay for abortions except in strictly regulated cases, but supporters of the ban said cutting off government funds for the organization — currently about $330 million a year — would make it harder for it to use its own money for the same purpose.
Democrats rejected the proposal in private talks. Officials in both parties said Republicans returned earlier in the week with a proposal to distribute federal funds for family planning and related health services to the states, rather than directly to Planned Parenthood and other organizations.
Democrats said they rejected that proposal, as well, and then refused to agree to allow a separate Senate vote on the issue as part of debate over any compromise bill.
Instead, they launched a sustained campaign at both ends of the Capitol to criticize Republicans.
"We'll not allow them to use women as pawns," said Sen. Patty Murray, a fourth-term lawmaker from Washington who doubles as head of the Democratic senatorial campaign committee.
For Congress and Obama there are even tougher struggles still ahead — over a Republican budget that would remake entire federal programs, and a vote to raise the nation's debt limit.
Associated Press writers Andrew Taylor, Alan Fram, Julie Pace and Ben Feller contributed to this story.
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