In a statement issued Sunday evening, Roybal-Allard characterized the dispute as one which does not center on new illegal immigrant arrivals, but rather on expanded efforts by immigration authorities under the Trump Administration to find people who are living illegally in the U.S., and deport them.
"A cap on detention beds associated with interior enforcement will rein in the Trump administration’s deportation agenda," the California Democrat added.
Republicans were quick to reject that idea.
"Reducing detention bed space for violent offenders for more wall funding is a bad, dangerous deal," said Sen. Lindsey Graham (R-SC).
Congressional leaders had originally hoped a deal could be finalized on Friday; then the goal was sometime this weekend, or maybe by Monday.
But as the President was tweeting from the White House on Sunday night, the outlook seemed to be turning against an agreement, again opening the possibility of a second partial shutdown, which could impact some 800,000 federal workers.
"For thirty-five days, President Trump shut down the government to bully Congress into giving him a border wall that Democrats and Republicans alike oppose," said House Majority Leader Steny Hoyer (D-MD).