No further talks were scheduled, a source told Reuters on Sunday on condition of anonymity.
The American Israel Public Affairs Committee, or AIPAC, supports both measures and is actively recruiting Democratic votes for its bipartisan passage.
National parks also remain shuttered, food and drug inspections have been curtailed and key economic data is on hold, among other impacts.
Senate Minority Leader Chuck Schumer, Democrat of New York, said his caucus will not vote in favor of any bills until the crisis passes.