Trump has made repeated calls this year to end that rule, and did it again Sunday in a tweet.
The government entered a partial shutdown Saturday after the Senate was unable to agree on a short-term spending bill the House passed Thursday. The White House said he was in regular contact with Republican leaders, but he has not reached out to any Democrats, a White House official said. McConnell and Schumer said negotiations lasted late into the night. Last year, President Donald Trump announced he was ending Deferred Action for Childhood Arrivals (DACA), a 2012 executive action that protected Dreamers from deportation.
But Trump's chief of staff, John Kelly, called Schumer later to say the Dreamers deal was too liberal.
Notably, numerous Democrats who voted against the agreement included a litany of potential 2020 presidential candidates including Kamala Harris, Bernie Sanders, Kirsten Gillibrand, and Elizabeth Warren.
"I'm glad we've gotten past that", Majority Leader Mitch McConnell said just ahead of a vote.
"He's the President. If he can't say "no" to Stephen Miller, god help us", chimed in Time contributing editor Jon Meacham.
In the midst of the stalemate, President Trump's re-election campaign released an ad declaring that "Democrats who stand in our way will be complicit in every murder committed by illegal immigrants", a stance that did little to improve the negotiating climate.
"Due to this obstruction, the government is shut down".
Vice President Mike Pence is blasting Congress for playing politics with military pay by failing to keep the government open. The U.S. counts 690,000 people now enrolled in DACA.
Republicans said they had always meant to have an immigration discussion, though Mr. McConnell's promise of a full floor debate is perhaps more than the GOP had originally been willing to concede.
He blamed the President for reneging on a near-deal that Mr Schumer said the two men had approached during a White House meeting on Friday.
Uniformed service members and law enforcement officers are among the essential government employees who will be working without pay until the federal government reopens.
With elections set for November for a third of U.S. Senate seats and the entire House of Representatives, both sides are maneuvering to blame the other for the shutdown.
Two Harrisburg, Pennsylvania police officers shot
York City Police Officer Kyle Pitts was identified as one of the officers injured and was taken to Hershey Medical Center. He said the officer's name should be recalled as a synonym for valor.
The senator from Kentucky said Sunday on CNN's "State of the Union": "It's gamesmanship and it's partisanship".
Democrats and Republicans traded blame throughout the weekend, with President Donald Trump calling for the "nuclear option" on Twitter.
White House spokeswoman Sarah Sanders told reporters, "We're not going to start having negotiations about immigration reform until the government's reopened".
Democrats said they had reached a deal with Republicans to reopen the government and proceed with debate on immigration.
The Senate vote early on Monday will be on whether to advance a measure to fund the government through February 8, McConnell said on Saturday.
The three-day shutdown is far less than the last go-around, when the GOP led a 16-day shutdown over Obamacare.
Then, almost a year ago, the Republicans, now the majority party, changed the rules again to allow Supreme Court nominees to move forward with approval from only a simple majority.
Republicans hold a slim 51-49 majority in the Senate.
Durbin tells ABC's "This Week" that "we have to acknowledge a respect for the minority".
There is a vote scheduled for Monday at 1 a.m. on a slightly shortened spending bill - for three weeks instead of four. "Were going to open the government and solve immigration at the same time", said Republican Senator Lindsey Graham.
While the powers at be inside Trump's White House might feel as though they are getting their point across loud and clear, it has caused some to question its appropriateness.
It was created more than 200 years ago to ensure that the minority party would at least have the opportunity to be heard, and to encourage both parties to work together and come to a consensus to better serve the American people.