That came after U.S. government officials said more than 1,800 children separated at the U.S. -Mexico border have been reunited with parents and sponsors after a federal judge ordered the reunions.
He also threatened to shut down the government unless Congress passes border-security legislation that includes building a wall separating the U.S. -Mexico border.
However, Schumer has since withdrawn that offer, which at the time was rejected by Republicans and President Trump, who wanted additional immigration reforms.
Congress has given the president some wall funding but not as much as he has requested.
House Republicans released a spending bill this month that provides $5 billion next year to build Trump's wall, a major boost.More news: Prince Harry asked Kate's advice before proposing to Meghan
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Democrats have long opposed financing Trump's wall but lack the votes by themselves to block House approval of that amount.
The current administration's zero tolerance policy, which envisaged the prosecution of any individual caught crossing the southern border illegally, was suspended by Trump after a massive backlash over the separation of some 2,000 children from their families at the border.
Sen. John Cornyn, R-Texas, who is the majority whip, pointed out to the Washington Examiner that Senate Minority Leader Chuck Schumer, D-N.Y., was once ready to offer $25 billion in border security funding in exchange for a pathway to citizenship for Dreamers.
Earlier Sunday, he said "there are consequences when people cross our Border illegally", referring to the separation of children from their parents, and called on Congress to fix "the DUMBEST & WORST" immigration laws in the world.
Lawmakers met with Trump last week to discuss the appropriations process to fund the government by the September deadline.
Trump then claimed the United States has the "dumbest" and "worst" immigration laws in the world.