Senate Minority Leader Charles Schumer Chuck SchumerVideo of Lindsey Graham arguing against nominating a Supreme Court justice in an election year goes viral Graham signals support for confirming a Supreme Court nominee this year Pelosi orders Capitol flags at half-staff to honor Ginsburg MORE (D-N.Y.) is meeting with President Trump Donald John TrumpUS reimposes UN sanctions on Iran amid increasing tensions Jeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Trump supporters chant 'Fill that seat' at North Carolina rally MORE at the White House as the government barrels toward a shutdown.

A source familiar confirmed the meeting, which was first reported by The New York Times, saying Trump "reached out" and invited the Senate Democratic leader.

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The meeting is between just Trump and Schumer, a fact sure to produce anxiety among Republicans worried the president might offer Schumer too much to ward off a shutdown.

Trump surprised Republicans last fall by reaching a deal on government funding with Democrats as GOP leaders sat in the same room.

The president has sent contrasting signals in these talks, at times sounding open to a deal and at other times taking a hard-line position.

He blew up talks last week after reportedly saying the United States should not take immigrants from "shithole countries," a remark that offended some members of both parties.