Barack Obama has said the Republican party had "a good night" in Tuesday’s midterm elections.
Obama said he looks forward to working with the conservatives during his remaining two years in office "in areas where we agree".
Mr Obama spoke as Republicans celebrated securing a US Senate majority and tightening their grip on the House of Representatives.
"I'm looking forward to them putting forward a very specific agenda in terms of what they want to accomplish," he said in a White House news conference. "Let's compare notes."
The Republican takeover will limit Mr Obama's political influence and curb his legislative agenda.
But the President can use his veto power if conservatives pass bills he opposes, such as a repeal of Obamacare.
Mr Obama has invited congressional leaders to a meeting on Friday to discuss how they can cut through the gridlock that has paralysed Congress in recent years.
Republican Senate leader Mitch McConnell, the likely new Senate majority leader, also struck a bipartisan tone.
He said voters expect the Republicans and the Democratic White House to find common ground.
The Kentucky conservative cited trade agreements and overhauling the tax code as possible areas for deal-making.