He also threatened to cut off USA aid to El Salvador, Guatemala and Honduras, among countries he deems have not done enough to combat illegal immigration.
Trump now is threatening to close the Mexican border to press Congress to give him money for a wall.
As agreement eludes Washington in the waning days of the Republican monopoly on power, it sets up the first big confrontation between Trump and newly empowered Democrats.
"I am in the White House waiting for the Democrats to come on over and make a deal on Border Security", Mr. Trump tweeted.
Mulvaney said Trump is willing to shut down the border, despite the economic hit as $558 billion worth of goods flowed across the border a year ago, because "all options are on the table" and "it's the only way we can get the Democrats' attention".
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Trump's tweets come as Congress has effectively given up on breaking the impasse over the president's demands for border-wall funding, all but ensuring that the partial government shutdown will stretch into at least the start of the new year.
"If they can't do it before January 3, then we will do it", said Rep. Jim McGovern, D-Mass., incoming chairman of the Rules Committee.
Her trip to paradise elicited strong reactions among conservatives on Twitter, who accused the Democrat of not taking her job seriously.
Trump is now demanding $5 billion in funding for his proposed wall along the U.S. -Mexico border, but Democrats are only willing to give up to $1.6 billion for border security.
Top House Democrat Nancy Pelosi has been spotted vacationing in Hawaii while the partial government shutdown drags on and heads toward its second week.
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'Republicans control the House, the Senate and the White House.
Democrats are considering several options once they take over the House next month: passing a short continuing resolution to fund the rest of the government, a long-term continuing resolution, or funding all of the government at current levels other than the Homeland Security Department, Politico reported earlier this week.
The North Portico of the White House is seen, Friday, Dec. 28, 2018, in Washington.
He has repeatedly threatened to cut off US aid to countries that he deems have not done enough to combat illegal immigration, but thus far he's failed to follow through. "The Democrats, believe it or not, don't call that a wall", he said.
And it is Congress, not the president, which appropriates aid money.
In a burst of early morning tweets on Friday, Trump said the alternative to funding his controversial wall project would be a total separation from Mexico - including making United States vehicle companies pull out their factories based on the other side of the frontier.
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Rumors swirled around the couple after a friend, surfer Conrad Jack Carr , posted photos and videos on his Instagram page. The 28-year-old actor was clad in an off-white satin gown while Liam wore a traditional black suit with a white shirt.
"We are not giving up on that - it's why the government is closed, ' Mulvaney said".