Speaker of the House Nancy Pelosi (D-CA) (L) and Senate Minority Leader Charles Schumer (D-NY) lead fellow Congressional Democrats out of the White House following a meeting with President Donald Trump at the White House April 30, 2019 in Washington, DC.

Rebuilding the country's aging infrastructure is one of the few bipartisan issues in American politics. Democrats and Republicans alike have stressed the importance of repairing and modernizing U.S. transportation, broadband, and water and power projects, and both parties have submitted separate funding proposals to achieve those goals.

"We agreed on a number, which was very, very good," Schumer said.

President Donald Trump and leading Democratic lawmakers agreed that a plan to overhaul U.S. infrastructure would need $2 trillion, Senate Minority Leader Chuck Schumer, D-N.Y., said Tuesday.

Yet the issue has languished on Capitol Hill — and the Trump administration's repeated attempts to refocus lawmakers through the label of "infrastructure week" have become a running joke in Congress.

Schumer said "there was good will in this meeting" between the White House and Democrats — a tone that was "different than some of the other meetings we've had," he added.

At a previous meeting between Schumer, House Speaker Nancy Pelosi and Trump in December, the leaders openly clashed on camera over the president's proposed border wall. Trump said at that meeting that he would be "proud" to shut down the government in pursuit of funding to build a wall along the U.S.-Mexico border. The government partially shut down less than two weeks later, and stayed that way for 35 days — the longest such closure in U.S. history.

Schumer told reporters after the meeting Tuesday morning that there was no inherent conflict in working with Trump to pass an infrastructure plan while, at the same time, Democrats in the House and Senate push forward in multiple investigations centered around Trump, his finances and his associates. "The two are not mutually exclusive and we were glad we didn't make it that way," Schumer said.

The meeting was held off camera. The White House did not immediately respond to CNBC's request for comment on Schumer's remarks.

Speaking outside the White House just after the meeting, the Democratic leaders also said that the two sides found common ground on some of the priorities that an infrastructure plan should address. Pelosi told reporters that Trump agreed on the importance of broadband infrastructure, a signal that a broader, more modern definition of infrastructure will be the basis for further discussions.

Schumer said that another meeting will take place in three weeks.

Ahead of the meeting, a coalition of multiple groups of Democrats in the House unveiled an infrastructure road map stating that the majority of funding for any bill should come from the federal government.

Trump's latest plan prior to Tuesday's meeting, however, aimed to use $200 billion in federal funds to spur a total of $1 trillion in spending from state and local governments, as well as private partners.

Despite their differences, Pelosi, Schumer and a raft of Democratic lawmakers met with Trump and members of his team at the White House Tuesday morning to discuss infrastructure.