The US Congress had earlier approved the short-term funding measure by a 254-175 vote not long after Senate passage in a 65-35 vote.
A partial US government shutdown will begin on Tuesday unless Congress can agree a stop-gap government funding bill before then.
The measure, which avoids another government shutdown, includes only $1.375 billion for border barriers or fencing, far less than the $5.7 billion that US President Trump has demanded for his long-sought border wall.
Congressional negotiators agree "in principle" to prevent another bruising government shutdown. The new terms include far less money for President Donald Trump's border wall than the White House's $5.7 billion wish list.
Former Democrat Representative Beto O'Rourke pledges to make El Paso even safer without a wall as US President Donald Trump charges ahead with his pledge to build a wall.
Senate leaders agree to vote on duelling proposals this week to reopen shuttered federal agencies. The Republican plan is a trade-off: Trump's border wall funding in exchange for temporary protection from deportation for some immigrants.
While US President Donald Trump views the latest offer as a compromise, Democrats have already dismissed his proposal before the formal rollout, continuing to oppose money for border wall.
Trump's announcement follows the longest federal shutdown in US history, with over 800,000 federal workers unpaid and at times resorting to selling possessions to make ends meet.
The brunt of the US government shutdown falls squarely on the shoulders of blue-collar Americans, a voting bloc Trump can't afford to lose.
The package of bills does not include the $5 billion Trump wants for the wall on the southern border.
Senate inched closer but ultimately fell short of an agreement that would have reopened federal agencies, complicating the beginning of the workweek in America.
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