WASHINGTON (CNN) -- With the political ball back in his court, the top Democrat in the Senate offered two Iraq proposals Monday, including one which does not contain timeline requirements for the withdrawal of U.S. troops.

Senate Majority Leader Harry Reid, D-Nevada, said he expects a supplemental appropriations bill to pass through the Senate before the end of the week.

The first proposal would cut off funding for all American combat troops after March 30, 2008. Reid signed on to that idea in April, co-sponsoring a bill written by Sen. Russ Feingold, D-Wisconsin.

At the same time as the Democratic leader floats a plan to end most war funding, he also is pushing an option with no firm withdrawal requirements. That second measure, known as Levin-Reid, takes the Iraq proposal passed by Congress last month and adds one significant change: the president could waive the withdrawal timelines in the bill.

Those timelines have been a critical front in the debate. The April bill required that troops begin to leave Iraq as early as July and by October at the latest. It also set a goal of pulling out all combat troops by April, 2008. Under Reid's proposal, those dates would remain in the bill but the president could opt out of adhering to them.

It's not clear if Reid's move on Monday was intended as a firm position for Senate Democrats or as a sort of placeholder so the Senate could move quickly into conference with friendly Democrats in the House.