From a source familiar with the call, this is what House Speaker John Boehner told House Republicans on Sunday:
That suggests to me that the House Republicans will pass a bill, send it to the Senate and let the Democrats decide if they want to send the country into default.
UPDATE (5:41 p.m.): A call participant gives me an account of what other leaders said during the call. From House Majority Leader Eric Cantor (R-Va.): "Thanks to the speaker for patience in working with the administration. We are where we are because the president and his party do not want to cut anywhere close to what we do without raising taxes on people and small biz — that has been the problem at each turn. The president's position of forcing us to give him a debt limit increase through the election is purely political and indefensible. He cannot sustain or defend putting politics above the country's interests in this situation. Let me tell you, though, he has the microphone. The only way to overcome him is to remain united and insist that every dollar the debt limit is increased, we have equal or more dollars in spending cuts without ANY tax hikes.Thank you all for your patience. It's a fluid situation — and let's stay united. We can do this." And from Majority Whip Kevin McCarthy (R-Calif.): "You see the battle the speaker is in. The president is throwing a fit because he's worried about the election. He doesn't want cuts, he wants increases. He lost his cool the other night because he knows he won't get what he wants if we remain united."