A plan released earlier by Senate Democrats would have relied far more heavily on direct federal government spending than Trump's plan. The President's plan included US$200 billion in federal spending with the aim of enticing several times that amount from other levels of government.
Both Schumer and Pelosi characterised the meeting with Trump as productive, and Pelosi said she is hopeful Democrats can work with the White House despite friction over ongoing congressional investigations of the Administration.
"We cannot ignore the needs of the American people as we go forward," she said.
Pelosi and Schumer said the purpose of the meeting "was to find out the amount of investment the President was willing to agree to. We were pleased he suggested $2 trillion."
The two Democrats added that all sides "have an historic opportunity to build infrastructure for the future, and an urgency to address the safety needs that our crumbling infrastructure represents. Every congressional district in America has urgent needs, which any big and bold initiative must address."
In a statement, White House Press Secretary Sarah Sanders also called the meeting productive and spoke of the need for bipartisan co-operation, but she made no mention of a US$2t figure.
Schumer told reporters that Trump did not rule out tax increases - an idea many Republicans are loath to embrace, especially with an election around the corner - but offered no specifics.
"The ball is in their court," Schumer said. "We told him that, it was repeated over and over again, that unless he is willing to come up with the pay-fors for this large package, it will never get done, and he agreed. And so we agreed to meet in three weeks, the same group, and they would present what their pay-fors would be, and I thought that was encouraging."