Sens. John McCain and Barack Obama both left President Bush's financial bailout meeting at the White House after 5 p.m. Thursday with no apparent deal worked out.

Obama, appearing on CNN's "The Situation Room" after the meeting, said there "has to be a sense of urgency on the part of everybody. ... We've got to move rapidly."

Obama said that there will be a deal eventually but that there is still work to do, including reaching a consensus among Bush, Treasury Secretary Henry Paulson and House Republicans.

Obama, who will spend Thursday night in Washington, once again railed against infusing presidential politics into the negotiations over the $700 billion economic bailout. McCain's campaign said he will also stay in the Washington area for the night.

"One of the concerns I've had over the last several days is that when you start injecting presidential politics into delicate negotiations," Obama said, "then you can actually create more problems rather than less."

When asked whether Friday's debate will go on if McCain doesn't show up, Obama said: "I hope he does."

CNN has learned that the University of Mississippi -- site of the first presidential debate -- has been told by the Presidential Debate Commission to continue preparing for the event.

Both McCain and Obama advance teams were seen on stage going through sound and video checks from their candidates' respective podiums.

In Washington, White House press secretary Dana Perino released a statement saying, "The president appreciates the bipartisan members of the congressional leadership and the two presidential candidates coming to the White House today to discuss how to finalize the financial rescue package. There is a clear sense of urgency and agreement on the need to stabilize the financial markets, and prevent a massive financial crisis from affecting everybody in America."

The statement went on to say that the group will continue to work on a deal.

But according to Sen. Richard Shelby, R-Alabama, who attended the meeting, "we will not have a deal."

Chris Dodd, chairman of the Senate Banking Committee, who also attended the meeting, said Thursday that the meeting was contentious and blasted what he calls McCain's inaction.

"I'm not quite sure what John McCain said at the meeting. He said something. ... He had no indication he was for any particular plans. I don't know where he is on all of this," Dodd said.

The meeting included many key players: Bush flanked at the table by Senate Majority Leader Harry Reid and House Speaker Nancy Pelosi, Obama and McCain on opposite ends of the table, House Minority Leader John Boehner and Senate Minority Leader Mitch McConnell also between the two presidential candidates and Vice President Dick Cheney across from Bush.

In a statement at the beginning of the meeting, Bush said he hopes for a deal to bail out Wall Street "very shortly."

He said the nation is in a "serious economic crisis" that needs to be dealt with "as quickly as possible" and that the historic meeting is "an attempt to move the process forward."

But according to several Republican aides, there is still major opposition to the "agreement on fundamental principles."

The fact that House Republicans are still not coming on board poses a major obstacle for any kind of deal. Pelosi and other House Democratic leaders have repeatedly said that this is Bush's bill and that he and other GOP leaders need to get Republicans to support it.

McCain, who announced Wednesday that he was suspending his presidential campaign until a bailout plan was worked out, met with some Republican House members to try to bring more of them on board to back the agreement, according to a source in the room and one who was briefed on the meeting.

The gist of the meeting, according to sources, was that these members "aren't there yet" on the plan the Senate Banking Committee worked out and say there needs to be greater protection for taxpayers.

One Republican aide said that "not much has changed in the last 24 to 48 hours. I think it has to be pretty radically altered for House Republicans to support it."

This aide stressed, "at the end of the day, these members represent the people who sent them here, and the people who sent them here are so overwhelmingly opposed to this."

This aide said the calls coming into GOP offices are 90 to 1 against the plan.

Boehner, R-Ohio, has tapped a group of House Republicans to develop alternative ideas.

Earlier, Boehner released a statement that said, "I am encouraged by the bipartisan progress being made toward an economic package that protects the interests of families, seniors, small businesses, and all taxpayers."

It's unclear whether McCain agreed with this approach, but one aide said he put the principles "in his satchel to take over to the White House."

Republicans recognize that there is pressure building to get something done before the end of the week. "There sort of a tacit understanding among everyone that it has to happen before Monday," a third GOP aide said.

Obama turned down McCain's suggestion that they both suspend their campaigns to focus on securing a deal on a bailout plan. He also passed on McCain's suggestion that they postpone Friday night's first presidential debate in Oxford, Mississippi.

Democrats fear that McCain will take credit for bringing reluctant Republicans around to agreeing with a bailout plan in order to bolster his argument that he would be a better leader in crises than Obama.

"The Democrats, of course, are very afraid that McCain is going to swoop into these delicate negotiations on Capitol Hill at the last minute and when they reach an agreement, he's going to claim credit for having brought those negotiations to a successful conclusion," CNN senior political researcher Alan Silverleib said.

A McCain source insists that the Arizona senator is aware of the politics involved and recognizes that Democrats -- and even some Republicans -- are wary of having it appear that McCain is brokering a deal.