John Boehner and Harry Reid held a meeting Tuesday afternoon to discuss spending levels, after a three-way talk at the White House this morning. According to Boehner's spokesman, the two agreed to keep talking.

"The Speaker and the Senate Majority Leader sat down privately and had a productive discussion. They agreed to continue working on a budget solution," said Boehner spokesman Michael Steel.

House Republicans earlier today proposed a one-week stopgap measure to keep the government funded as talks continue. At a press conference this afternoon, President Obama said he could support a two or three-day continuance, but that another temporary funding bill was off the table.

Obama said Boehner had wanted to meet with Reid alone in the follow-up session.

The president also said he wanted both Boehner and Reid to return to the White House for another meeting Wednesday morning if a deal was not reached Tuesday afternoon.