House and Senate budget leaders face a new mission impossible: reconciling their wildly different blueprints.

The Senate’s passage of a budget for the first time in four years sets the stage for leaders to name conferees to negotiate a compromise measure. A reconciled budget resolution would then be put before the full House and Senate for votes.

Senate Majority Leader Harry Reid (D-Nev.) and Speaker John Boehner (R-Ohio) have made no decisions about when to take these steps, congressional sources said.