White House spokesman Nicholas Shapiro said Mr. Obama will meet with Democratic Sen. Chuck Schumer of New York and Republican Sen. Lindsey Graham of South Carolina on Monday.
President Obama said he remains hopeful Congress will reach a deal to avert the "fiscal cliff," but he reiterated his call for a vote on his plan to extend middle-class tax rates if Congress fails.
Republicans took control of the U.S. Senate in a series of stinging defeats for Democrats and President Obama, who will now face a unified GOP-controlled Congress for his final two years in office.
Tens of thousands of demonstrators joined Monday in chants of "Death to America" to mark the anniversary of the 1979 takeover of the U.S. embassy in Tehran.
US Senators visit the Afghan president to try to push for talks aimed at signing a crucial security deal and halt the release of prisoners the US considers a threat.
A copy of the invitation obtained by The Associated Press says those giving or raising $10,000 will get a photo opportunity with the two Republicans and access to a VIP reception.