"I am proud to shut down the government for border security", said Trump, then adding twice: "I will take the mantle".
Trump wants to veto any congressional spending bill if he doesn't get $5 billion for the wall, a demand that Democrats have rejected. That means that any House-passed bill would need at least nine Democratic votes in the Senate to get to the 60-vote threshold to stop a filibuster.
Tuesday's late-morning meeting will be the first gathering of Trump, Schumer and Pelosi ahead of the shutdown deadline. The new Congress is sworn in January 3, and Pelosi is nominated for her second stint as speaker of the House and second in the line of presidential succession.
Schumer lectured Trump that "Elections have consequences, Mr President".
Trump said the active duty troops who deployed to the border just before the mid-term elections to reinforce Customs and Border Protection have done an "incredible" job at turning back the so-called "caravans" of asylum seekers. He says all the right stuff and we're still not gonna get a wall.
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The disclosure comes a day before Chief Executive Sundar Pichai is set to testify before the House Judiciary Committee of the U.S. The company also said it would inform affected users, including "any enterprise customers".
Hours before the meeting, Mr Trump tweeted that "the Military will build the remaining sections of the Wall". "They know how important it is!"
"We're doing this in a friendly manner", replied Trump, prompting a grimace from Pelosi. He jabbed at the Democratic leaders.
With the 51 Republicans needing 60 votes to pass the package, Democrats refused to support it as they demanded help for "Dreamers" - more than 700,000 immigrants who entered the USA illegally as children.
Tuesday's West Wing dramatics likely won't change how the border wall talks go over the next 10 days, Kamarck said. The current round of government funding is set to expire on December 21. Bob Casey was supportive of the $1.6 billion that a bipartisan Senate funding bill has earmarked for border security.
About 20 House Democrats who have publicly opposed Pelosi's bid to return to the speaker's chair in the next Congress are involved in the discussions, and Pelosi can only afford to lose 17 Democrats if she wants to reach a majority in the lower chamber.
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When Ms Pelosi said he did not have that support in the House, Trump interjected: "Nancy, I do".
As tempers frayed, Schumer pressed on, saying there was a proposal on the table that Republicans and Democrats would support.
Speaking to Democratic lawmakers back at the Capitol, Pelosi boasted on Tuesday that she and Democratic Senate leader Chuck Schumer goaded Trump to "fully own that the shutdown was his".
Trump repeatedly returned to his argument that the border wall is needed for security reasons. Instead, the money should be used for fencing and technology that experts say is appropriate, he said. This prompted both Pelosi and Schumer to panic and repeatedly ask that the cameras be shown out of the room.
If Trump "wants to shut down the government over Christmas over the wall, that's his decision", he said. I need no better evidence than their new website - which I think is 'LyinComey, ' maybe? - attacking me.
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Democrats have argued that if there is a partial shutdown, Trump and Republicans will be to blame due to their political pursuit of a wall that doesn't meet genuine national security goals.