A congressional deal seemed to stall even after Mulvaney convened a bipartisan group of lawmakers on Friday.
The Homeland Security Department and other agencies are operating on a short-term spending bill that Trump signed January 25, when he ended the nation's longest ever government shutdown after 35 days.
The website Axios, citing 51 private schedules provided by a White House source, revealed that Trump spent 60 percent of his time since the day after November's midterm elections in "Executive Time" in his private quarters.
Dr. Sean Conley, physician to the President, announced that President Donald Trump is in "very good health" following his physical examination at the Walter Reed military hospital Friday. He said the impasse was over Democrats' desire to cap the number of beds in detention facilities for people who enter the country illegally.
"You absolutely can not", Mulvaney, who is also Trump's acting chief of staff, told NBC's "Meet the Press" on Sunday.
Shelby blamed Democrats for the latest snag, saying they wanted to cap the number of beds at immigration detention centers. Trump also received a ideal score on a cognitive exam, which Jackson said he performed at the President's request.
The White House said Sunday it can not rule out another government shutdown as it gets mixed signals from Democrats and Republicans racing a Friday deadline to fund President Trump's border-wall demands and keep federal operations humming. "We're still participating, we're still listening, we're still talking, but we're not leading the negotiations". In addition, Democrats are pushing to reduce the number of apprehended migrants detained by Immigration and Customs Enforcement, a federal agency. Jon Tester, D-Mont., one of the negotiators, said on Fox News Sunday.
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Republicans balked at the Democrats' sub-cap offer, the source said.
Aides have since said that the term refers to when the president watches television, reads newspapers and does other work, according to Politico.
Schiff last week hired former National Security Council staffers to work for him as he launches a sweeping new investigation into Trump - a move that appears to have drawn particular ire from the president.
Trump said on Twitter Sunday that he doesn't think Democrats on the committee are being allowed by their leaders to make a deal with border wall money and "now, out of the blue, want a cap on convicted violent felons to be held in detention!"
Democrats say they proposed their cap to force ICE to concentrate its internal enforcement efforts on unsafe immigrants, not those who lack legal authority to be in the country but are productive and otherwise pose no threat.
Wyoming Rep. Liz Cheney, a member of GOP leadership, said on CNN's "State of the Union" Sunday that she hoped there would not be another government shutdown and insisted an agreement include funding for a barrier at the border. "And I had absolutely no concerns about his cognitive ability or his, you know, his neurological function", Jackson told reporters at the time.