The White House threatened to veto the measure, while Senate Majority Leader Harry Reid (D-Nev.) proclaimed it dead in the upper chamber.
The imminent deadline, combined with the prolonged impasse, has led some lawmakers to predict a shutdown is all but inevitable.
“In candor … when the clock strikes midnight on Monday, the place is shutting down,” Rep. Robert Andrews (N.J.), head of the Democrats’ Steering and Policy Committee, said Saturday night.
The House added language delaying implementation of the healthcare law by a year in a 231-192 vote, with Democratic Reps. Jim Matheson (Utah) and Mike McIntyre (N.C.) joining Republicans. Two Republicans voted against the delay, Reps. Chris Gibson (N.Y.) and Richard Hanna (N.Y.).