"We had a very, very productive meeting, and we've come a long way", Trump said.
The government has been partially shutdown for 14 days, since Trump refused to sign spending legislation that didn't include US$5 billion to continue construction of a wall on the USA border with Mexico - his top campaign promise.
Shortly after the new Congress was sworn in on Thursday, the House approved two measures to provide short-term funding for the Government.
Trump confirmed that comment but painted a more positive picture of the meeting, the first since a new era of divided government began when Democrats took control of the House of Representatives on Thursday.
Friday's White House meeting with Trump includes eight leaders - the top two Democrats and Republicans of both chambers.
"And I said, 'Baby, they don't, ' because we're gonna go in there and we're gonna impeach the motherf--".
Trump made the wall - a project estimated to cost about US$23 billion - a key campaign promise in 2016, saying Mexico would pay for it and arguing it is needed to combat illegal immigration and drug trafficking.
There was a time, not that long ago when Republican politicians believed that the most pressing issue facing America's future. Democrats disagree, with Ms Pelosi calling the wall immoral, ineffective and expensive.
In a television interview that aired Thursday morning, House Speaker Nancy Pelosi, D-Calif., said that the House's actions regarding impeachment should be guided by an anticipated report from Mueller, who is probing whether Trump's campaign coordinated with Russian Federation and whether Trump has tried to obstruct the investigation.
Mr Schumer, the Senate minority leader, said the Democrats had asked Mr Trump to not "hold hundreds of thousands of Americans hostage" and to "open up the government" in order to continue discussions on the wall. Trump is seeking $5.6 billion to build it.
A quick end to the stalemate does not appear to be in sight as Democrats, who now control the House of Representatives, seem in no mood to make concessions to the USA president.
"We're not doing a wall".
The Republican-run Senate said it might not even vote on the legislation.
A Reuters/Ipsos opinion poll last week showed that 50 percent of the public blames Trump for the shutdown and 7 percent blames Republican lawmakers, while 32 percent blames Democrats.
Pelosi called Friday's talks "lengthy and sometime contentious" and said that no progress was made.
Earlier, Mr Trump responded to rumblings of a move by Democrats to impeach him, tweeting that he was too successful and popular to be impeached. He has since said they are responsible.
Trump said a bipartisan working group including Vice President Mike Pence would meet over the weekend to try to hammer out an agreement.
A Democratic congresswoman kicked off her term with an expletive-laced vow to impeach Donald Trump, testing her party's discipline and earning a chiding Friday from the president.
Federal agencies such as the Justice Department, Commerce Department and departments of Agriculture, Labour, Interior and Treasury have been hit by the shutdown.
The legislators took office Thursday in the middle of a partial government shutdown.