But given the politically sensitive nature of the plans, all sides said a bipartisan deal would be difficult at best.
With 26 coal mining deaths so far this year, the rally came as senators reached a bipartisan deal on safety legislation.
But the outlines of a bipartisan deal are becoming clearer.
I see no prospects for a bipartisan deal on the deficit.
Yet some members of both parties take seriously the prospect of a bipartisan deal.
He should state unequivocally what compromises he could swallow in order to get a bipartisan deal.
The requirements are codified in law, but thanks to a longstanding bipartisan deal, each party lets the other write its own rules.
The agreement is the first major bipartisan economic deal to emerge since Democrats took control of Congress in January.
The beneficiaries of this bipartisan deal included five Republicans and two Democrats.
President Obama spoke in support of a bipartisan deal to reduce the nation's deficit and avoid default.