"See if we can get a deal", Graham said Sunday on Fox News.
But there was no end in sight to the stalemate as Democrats have refused to budge in their opposition to Trump's call for more than $5 billion in funding for the wall. Thirteen per cent say both sides bear equal responsibility for the shutdown.
More Americans remain opposed to the idea of a border wall than support it, the poll found, although the margin has narrowed over the past year.
GOP aides have been pointing out that when the question is asked in polls about who's to blame for the shutdown with three options - the President, Democrats and Congressional Republicans, the congressional Republicans are a distant third.
Where we are: CNN polled seven senior GOP and Democratic aides who have been involved in these fights for years how they thought this would end.
Sen. Lindsey Graham (R-S.C.) said on December 31 the president was open to the idea of giving out a three-year work permit and deportation protections to the DACA population in exchange for wall funding. It provides work permits and protects applicants who are in the country illegally from being deported, provided they came to the United States before the age of 16 and have lived here since at least June 15, 2007.
Mobile responds to location data scandal, says it’s ‘completely ending’ aggregator work
We're doing it the right way to avoid impacting consumers who use these types of services for things like emergency assistance. Cellular carriers make a small fortune collecting and selling this data, and there's virtually no oversight of the practice.
'I don't know if we're close on a deal, ' Trump said.
"If we do that, it's going to go to court and the wall won't get built", he said.
Targeting Democratic House Speaker Nancy Pelosi and Senate Minority Leader Chuck Schumer, President Trump also argued that the shutdown "has become their, and the Democrats, fault!" "I have been there numerous times - The Democrats, Cryin' Chuck and Nancy don't know how bad and unsafe it is for our Entire Country..."
Trump has shown no signs that he's willing to back off his demand for wall funding to reopen the government, and Democrats are steadfast in their refusal to consider any wall funds as a part of a government funding deal.
"As an equal branch of government we have the authority to override the President's veto, if that's what he chooses to do, " Manchin said. Funding for the border wall remains the sticking point in passing budgets to reopen the government.
"We have drugs, we have criminals, we have gangs, and the Democrats don't want to do anything about it", the president continued.
Democrats oppose such a declaration but may be powerless to stop it.
Le maire de Gdansk succombe à ses blessures après son agression — Pologne
L'enquête ouverte par la police portera aussi sur un badge "médias" à l'aide duquel l'agresseur serait monté sur scène. Les Polonais s'interrogent aussi sur la sécurité entourant l'événement public, assurée par une société privée .
Many Republicans doubt that the invocation of a national emergency would help their cause - likely influencing Trump's decision Friday to say he was holding off in order to give Democrats more time to strike a deal.
Senate Homeland Security Committee Chairman Ron Johnson, R-Wis., said he'd "hate to see" a declaration issued because the wall wouldn't get built, presumably because of legal challenges.
"I want to give them the chance to see if they can act responsibly", he told Fox in an interview late last Saturday. Almost half of all Americans (47 per cent) say there is a serious problem at the border but decline to call it a crisis.
Trump spoke at a farm convention Monday, declaring: "When it comes to keeping the American people safe, I will never, ever back down".
He now must win concessions from the Democrats, who took over the US House of Representatives this month following November's elections. Last week, CCN reported that a Bloomberg survey indicated that economists believe that the impact of the prolonged shutdown is a contributing factor to the growing possibility of the U.S. going into recession within the next 12 months.
The Finland discussion was remarkable because Trump questioned his own intelligence agencies' conclusion Russian Federation sought to influence the 2016 election - not the first time he caused concern in the USA by taking Putin's view.
Led coalition begins withdrawal from Syria
In public statements, he had repeatedly suggested that he wanted to bring American troops back home. If not, the Trump administration would be accused of abandoning an ally to a grim fate.