According to a Washington Post-ABC News poll, more Americans, by a wide margin, blame Mr Trump and Republicans in Congress than congressional Democrats for the now record-breaking government shutdown.
Lindsey Graham also says Trump still wants to reach a deal for the wall before agreeing to reopen shuttered government departments. House Speaker Nancy Pelosi of California and Senate Democratic Leader Chuck Schumer of NY have refused to meet that demand, instead offering a far smaller sum to shore up border security and asking the President to reopen the government now and negotiate on border security later.
A senior US Republican has urged President Donald Trump to temporarily reopen parts of the government shut down for more than three weeks. "If we can't at the end of three weeks, all bets are off".
On Friday, however, Trump backed off a series of previous threats to end the deadlock by declaring a national emergency and attempting to secure the funds without congressional approval. The president initially sounded as though such a move was imminent, but then pulled back. See if we can get a deal.
A CNN poll found that 55 percent believe Trump is more responsible for the shutdown than Democrats in Congress.
Although the president is now frustrated with the inaction of the Democrats, he does think this standstill could help Republicans in 2020. Such a move, should Mr Trump ultimately go down that route, would nearly certainly be challenged in the courts.
Sen. Joe Manchin III, D-W.Va., said in a statement Sunday that given Trump's suggestion late last week that he does not immediately plan to issue an emergency declaration, "it's time for Senate Majority Leader Mitch McConnell to bring up the House passed appropriations bills that would finally reopen government".
But Senate Republican leaders refused to take up any budget bill that will not be signed by the president, and Trump has said he will not approve any budget that does not include $5.7 billion for a border barrier.
A national emergency would allow Trump to divert money from other projects to pay for the wall, which was a central promise of his 2016 campaign.
U.S. president Donald Trump leads a roundtable discussion on border security with local leaders on January 9.
Pelosi argued that Trump is merely trying to steer attention away from special counsel Robert Mueller's investigation and other White House problems.
The lawmaker said Democrats had voted for $1.3 billion in border security before the shutdown started.
"It's not about elitism, it's not about separatism, it's not about racism", Milstead said.
Opponents say a unilateral presidential move like declaring emergency would be constitutional overreach and set a unsafe precedent in similar controversies.
Senator Ron Johnson, chairman of the Homeland Security Committee, told CNN that he would "hate" to see Trump invoke emergency powers for a wall.
First, Republicans have a lawsuit before the Supreme Court on the Constitutionality of President Donald Trump's decision to overturn former President Obama's executive order on DACA.
On Sunday, he said he wants the Democrats to come back to the negotiating table.
Coons blames the impasse on border wall funding that led to the shutdown on Trump.
Graham and Coons spoke on "Fox News Sunday".