The broader measure includes funding for the remainder of the fiscal year for every government agency currently closed, with the exception of agencies within the Department of Homeland Security.

The second bill would fund DHS through Feb. 8 at the current funding rate of $1.3 billion for border security.

\"We asked him to give us one good reason -- I asked him directly. I said, Mr. President, 'give me one good reason why you should continue your shutdown of the eight cabinet departments while we are debating our differences on homeland security?' He could not give a good answer. So we would hope that they would reconsider and would support the very bills that pass the Senate,\" said Senate Minority Leader Chuck Schumer of New York.

ABC News' Meridith McGraw contributed to this report.

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