But the two sides remain at loggerheads on a key point: Democrats what a separate deal to save protections for young immigrants brought to the country illegally, while Republicans want it attached to a bill involving increased border security measures and Mr Trump's promised wall dividing America from Mexico.
DACA - an acronym referring to the Obama-era directive known as the Deferred Action for Childhood Arrivals (DACA) program - granted temporary work authorization and deportation relief in two-year increments for certain undocumented immigrants brought to the country as children.
The immigration negotiations are part of a broader series of talks over issues ranging from funding the federal government through next September to renewing a children's health insurance program and giving USA territories and states additional aid for rebuilding following last year's hurricanes and wildfires.
The bill also provides support for building a "smart wall", or "technology, physical barriers, levees, tools and other devices" to be used by the Department of Homeland Security at the U.S. -Mexico border, CNN reported. And, if Republicans can convince Trump to accept more money for border security overall as a win on the wall.
"I would like to add the word "merit" into any bill submitted", Trump said.
"I think my positions are going to be what the people in this room come up with", Trump said during a Cabinet Room meeting with a bipartisan group of 20 lawmakers, adding, "I am very much reliant upon the people in this room".
Bannon's break with Trump has raised concerns among some conservative Republicans that the president might reach an agreement with Democrats on the young "Dreamers" without getting enough in return on border security and significant changes to the immigration system. "In order to secure it, we need a wall".
While the government-contracted wall prototypes have risen near the border in San Diego, the Trump administration has so far not made significant progress on the much larger - and costlier - undertaking of funding and constructing a border wall.
"We can do a great wall-you need the wall", Trump said after a question from Sen.
"Just to be clear you weren't there for the entire negotiation, because the deal didn't take place until after you guys left", Sanders said. Those issues include efforts to nix some forms of legal immigration such as family reunification, called "chain migration" by Trump and other opponents, and the green card diversity lottery system. But in the meeting he indicated a willingness to compromise with Democrats, whose votes are needed in the narrowly divided Senate. "If they come to me with things that I'm not in love with, I'm going to do it", Trump asserted. Jeff Flake, R-Ariz., one of the attendees.