House Speaker Nancy Pelosi hailed a new plan, Friday, to cut the growth of Medicare, but Republicans are urging her to adopt some of their amendments.
They say there's still enough time to reach a bi-partisan agreement.
"Our principles really do reform the system and we're convinced have the right impact on costs instead of the wrong impact on costs," said Rep. Roy Blut, R-Miss. "One of those principles is a more competitive marketplace."
Meanwhile, President Obama accepted a vote delay on his proposed healthcare overhaul, as long as Congress keeps on working on it.
Senate Democratic leaders advised him Thursday to "slow down" his rush for healthcare reform as lawmakers. Obama had previously pushed for the complete overhaul by the August recess.
"That's okay. I just want people to keep on working. Just keep working," Obama said to Congress earlier Friday.
Obama has been pushing hard for legislation that would require all Americans to be insured. The estimated price-tag on his proposal is $1 trillion over the span of a decade.
Any new Senate action will be now be delayed until September. Still, Obama has said he wants to sign health care legislation into law by the end of the year.
Obama will meet with Senate Majority Leader Harry Reid and Senate Finance Committee Chairman Max Baucus Friday to discuss the bill.