Democrats said on Tuesday they had withdrawn an offer to fund US President Donald Trump's border wall, as tough negotiations over the future of young illegal immigrants known as "Dreamers" resumed in the Senate.

A day after the end of a government shutdown linked to wrangling over immigration, Senate Democratic leader Chuck Schumer said he pulled the offer because of what he said was Trump's failure to follow through on the outlines of an agreement the two men discussed on Friday.

"So we're going to have to start on a new basis and the wall offer is off the table," Schumer told reporters. An aide said the offer was withdrawn on Sunday.

Trump said on Twitter late on Tuesday night: "Cryin' Chuck Schumer fully understands, especially after his humiliating defeat, that if there is no Wall, there is no DACA. We must have safety and security, together with a strong Military, for our great people!"

Trump said during the 2016 election campaign Mexico would pay the cost of building a wall along the southwestern border of US to keep out illegal immigrants. Mexico has rejected the idea. As a result, Trump has been forced to ask Congress for US taxpayer funds for the wall.