Three lawmakers are pushing for a floor vote on their proposal.
Rep. Matt Salmon (R-Ariz.) has introduced legislation to do away with funding for the National Labor Relations Board.
Cruz amendment would prevent changes to immigration laws.
Senators will tackle the first pair of amendments on trade legislation Monday.
Congress faces looming deadlines to renew highway funding and Patriot Act provisions.
Cardin said it was “a stretch” to even say that the committee was in the beginning stages.
Monday's vote is an indication that GOP leaders will not try to amend the legislation.
Sanders is calling on President Obama to announce a new executive action.
House Democratic leaders had urged members to oppose the spending bill.
Obama has threatened to veto the circumvention of spending caps.