"There are some people that are talking about withdrawing from negotiations and trying to threaten a government shutdown," said Sen. Thom Tillis (R-NC).
"Say what you would like to about President Trump, but he is pushing the Congress to do something not done in two decades," said Sen. James Lankford (R-OK), who like Tillis argues that something must be done for the DACA Dreamers - but that can't happen on its own.
"Deals like this, where you need 60 votes, necessarily involve compromise," said Sen. Jeff Flake (R-AZ), who has been trying to spearhead a bipartisan agreement on DACA, as he argued on the Senate floor Monday night that everyone must give a little.
There had been talk that lawmakers and the White House might try to reach a deal on DACA in a government funding bill which must be approved by January 19, but the chances for an overall budget deal by that date seem remote at this point - with some GOP hints that another short term budget extension was likely.
When the President terminated the DACA program last year, he set a deadline for action in March.
The maneuvering on Dreamers and immigration came as the Trump Administration ended another temporary immigration program, this one for people from El Salvador, who were allowed to come to the United States after a pair of earthquakes in 2001 ravaged that Central American nation.
It's the latest in a series of decisions to rescind what's known as 'Temporary Protective Status' - which will force people as many as 200,000 people from El Salvador, 50,000 from Haiti, and several thousand from Nicaragua to return to their home nations; reports indicated that such a move may also be made with respect to Syrian nationals who had come to the United States in recent years.
In Congress, Democrats denounced the move, as the latest in what they say is an anti-immigrant effort in the Trump Administration.
"It is clear that El Salvador is not in a position to receive these families, and rescinding their TPS designation only stands to jeopardize the health and safety of thousands while tearing families apart," said Sen. Cory Booker (D-NJ).
"The administration’s decision today will cause 200,000 children who are American citizens to either lose their parents or be forced out of the only home they have ever known," said Rep. Val Demings (D-FL).
The 200,000 figure is the estimated number of kids - U.S. citizens after being born here - who might see their parents forced to go back to El Salvador by September of 2019.
While Democrats demanded that Congress approve plans to allow those people to stay in the United States, that type of action seems like a long shot - especially as lawmakers struggle to figure out what to do with an estimated 800,000 illegal immigrant Dreamers.
"The White House set this crisis in motion when it ended DACA four months ago," said Sen. Dick Durbin (D-IL). "Now, they are using Dreamers as a bargaining chip to pass a wish-list of hardline anti-immigrant bills."
But for Republicans, it's a much different story - yet another example of why finding common ground on various immigration policies has been nearly impossible over the last 15 years.
The President has asked Congress for $18 billion to build the border wall. Democrats say that runs directly against his campaign trail vow to have Mexico pay for that wall.