The objective of the meeting was to hammer out a temporary spending bill likely to include an extension of President Barack Obama's Deferred Action for Childhood Arrival program, or DACA, for some immigrants brought into the United States as minors.
Republicans, Ryan added, want to make sure that the package, however, is "balanced", so that the US doesn't have a DACA program five to 10 years from now.
He added: "But it also has to be a bill where we are able to secure our border".
Congress has less than two weeks - until January 19 - to potentially pass a budget deal to lift spending caps and a governmentwide funding package that funds the rest of the fiscal year.
In a bipartisan meeting with lawmakers on Tuesday, the president indicated that he's in favor of first passing a "clean" bill that codifies protections for beneficiaries of Barack Obama's Deferred Action for Childhood Arrivals program.
The goal of the White House meeting was to discuss how to reach an agreement between Democrats and Republicans, while still accomplishing the President's push for a wall along the U.S. border with Mexico and other changes to the United States immigration system - something Democrats widely oppose.
At the meeting, two GOP lawmakers, Rep.
Sanders said in a statement released after the meeting that the president and lawmakers "reached an agreement to negotiate legislation that accomplishes critically needed reforms in four high-priority areas: border security, chain migration, the visa lottery, and the Deferred Action for Childhood Arrivals policy" during a closed-door session.
And on the potential presidential candidacy of Oprah Winfrey, Trump said, "Yeah, I'll beat Oprah".
"I would have more faith in the meeting if they would have people going who really knew the issue from our side", she said, adding that she was not criticizing Durbin. The source said Trump told them beforehand the press would come in for the top. "Because I respect them". Jeff Flake, R-Ariz., one of the attendees.
President Donald Trump urged Congress on Tuesday to reach a compromise on the fate of millions of undocumented migrants who came to the USA as children, but did not give ground to Democrats over his plans for a border wall.
Republican Senator Lindsey Graham, who also was at the meeting, said negotiators in Congress still faced difficulties but it was important that Trump had shown he had "no animosity toward the Dream Act kids" and the "wall is not going to be 2,220 miles wide".
A congressional aide told Reuters that negotiators in Congress also have been talking about legislation that would expand TPS in return for ending a visa lottery program that Republicans want to terminate.
Just a few days into his presidency, Donald Trump conducted a call with Mexican president Enrique Peña Nieto that seemed to undermine one of his most fundamental campaign promises.
Democrats and Republicans are set to resume negotiations on Wednesday.
Such measures, experts told the Times, may suggest that the Trump administration cares more about appearing to crack down on illegal immigration than actually doing so.
Senate Majority Whip John Cornyn made the point directly to Trump during the meeting, saying that House Speaker Paul Ryan and Senate Majority Leader Mitch McConnell both told the President at a legislative retreat with Republicans over the weekend that only a bill with Trump's support would move forward for a vote.
"If you want to take it that further step, I'll take the heat", Trump responded.
Trump ended the program past year, citing legal challenges by states, but gave Congress until March 5 to negotiate a deal that would allow "Dreamers" to stay legally.