To retaliate over the Democrats' refusal to fund the wall, Trump is refusing to sign a wider spending package.
In one of his tweets, Trump rejected that account.
Sen. Jon Tester, D-Mont., speaking on CBS' "Face the Nation", said the Trump administration has "spent very little" of the $1.3 billion that Congress allotted for physical border security improvements earlier this year. But in order for the government to re-open, they will also need to pass both the Republican-controlled White House and Senate.
"If Mexico isn't going to be made to pay for a wall, that means funds must be found internally", he said.
In response, Trump tweeted, "An all concrete Wall was NEVER ABANDONED, as has been reported by the media". "Some areas will be all concrete but the experts at Border Patrol prefer a Wall that is see through (thereby making it possible to see what is happening on both sides)".
Senate Republicans have not yet commented on the Democrats' plans, but it seems unlikely that the government will re-open unless President Trump changes his public stance in either case.
Flights resume at Germany's Hannover Airport after man drove into secure area
Take-offs and landings were suspended while the incident was investigated, though the airport's terminals remained open. Hanover airport in Germany is on lockdown after a man drove through the gate in an attempt to get on to the runway.
Mr Trump is struggling to get the funding needed to start building the wall. A senior Democratic aide said in response that Trump hasn't weighed in publicly on Graham's latest suggestion, adding that the president appears unwilling to find a way out of the shutdown he championed.
Trump, however, has refused to accept a bill that does not include at least $2.5 billion for the border wall - down from his original demand of $5 billion - but Democrats have said they will not go above $1.3 billion they have already offered.
Trump pushed back at Kelly's claim.
White House chief of staff John Kelly, who will depart President Donald Trump's administration on Wednesday, told The Los Angeles Times in an extensive interview published Sunday that the president never ordered him to do anything illegal and added that the proposed border wall at the center of the government shutdown fight is not as it has been portrayed.
U.S. President Donald Trump acknowledged Monday that not all of the barrier he wants to build along the Mexican border would be a concrete wall he has long called for.
Graham proposed to help two groups of immigrants get approval to continue living in the U.S: about 700,000 young "Dreamers" brought into the USA illegally as children and about 400,000 people receiving temporary protected status because they are from countries struggling with natural disasters or armed conflicts.
Wall Street selloff worsens on Mnuchin move, Washington drama
With the U.S. now showing signs of sluggishness, investors fear they could be spillover effects on the broader global economy. The conversations confirmed that "ample liquidity is available for lending to consumer and business markets", he said.
- Democrats win: Pelosi and Senate Minority Leader Chuck Schumer offered options to Trump during a heated Oval Office meeting on December 11, including a six-bill spending package with a stopgap for Homeland Security and a full-year stopgap spending bill for all the closed federal departments.
Neither did Trump make any mention of the new free trade agreement, known as the USMCA, which he only recently signed with the two neighbouring countries to replace NAFTA and which he has repeatedly praised as a huge boost for American commerce.
Currently, an estimated 54,000 Customs and Border Protection agents and customs officers with DHS are working without pay as the shutdown continues into the New Year. In 2017, explaining why he voted "no" on the GOP's controversial tax bill, Jones said that "the biggest threat to our national security is America's rising debt".
"The president still says "wall.' Oftentimes frankly he'll say 'barrier" or 'fencing, ' now he's tended toward steel slats", Kelly said.
The second bill would reopen and fund the Department of Homeland Security (DHS) only on a short-term basis.
India vs Australia: Disappointed to miss Virat Kohli’s wicket, says Travis Head
Batsman Mayank Agarwal , 27, will make his debut after India openers KL Rahul and Murali Vijay were axed. Mayank said he wanted to excel in all formats. "I am happy but obviously I would have liked more [runs].