He was trying make the case that unauthorized immigration was a national crisis that merited an appropriation of $5.7 billion for new border wall construction, an assertion Democratic lawmakers denied.
In the Democrats' weekly address, Representative Scott Peters, who represents a district in San Diego County, California, outlined border security measures such as radar and surveillance via drones, and said "let's re-open the government and talk about these ideas".
At a White House meeting last Friday, Mr Trump described an emergency declaration as the "easy way out", and said Congress had to step up to the responsibility of approving funding for the wall.
During an appearance on "Fox News Sunday", Graham suggested that Trump sign a bill funding the government for three weeks to allow time for further negotiations with Democrats before the president "pulls the plug" on an emergency declaration.
Trump contended, "I'm ready, willing and able to get a deal done.... See if we can get a deal", Graham, a South Carolina Republican who has called on Trump to invoke emergency action, said on "Fox News Sunday". Trump is expected to sign the bill.
Democrats and the president remain at loggerheads, with party leaders saying they won't agree to fund any kind of wall or barrier and Trump insisting he won't agree to reopen the government until the wall is funded.
Government workers and supporters hold a protest rally in Boston as the partial USA government shutdown becomes the longest since 1995. "The Republican-controlled Senate and a handful of senators will make that decision".
"People are missing paychecks, losing business, or working without pay".
Italy's Salvini seeks to build new European order with Poles
Later in the day he was to meet Jarosław Kaczyński, the head of Poland's governing Law and Justice (PiS) party. Both populist governments have been embroiled in conflicts with Brussels over topics of national sovereignty.
Cesc Fabregas leaves Chelsea to join Monaco
Batshuayi returned to Chelsea this month after an uninspiring spell at Valencia on loan, scoring just once in La Liga. He will also now be playing under his former team-mate and fellow former Arsenal fan-favourite Thierry Henry .
Government shutdown means no payday for TSA employees in Onslow County
Those deemed non-essential have been placed on unpaid leave, while others have been forced to continue working without pay. They Just want to work and get paid and they say this could affect us. "My mom is actually having to pay the whole rent".
"That is not a historical claim that I think any president or any Congress should want to make", said Senator Lisa Murkowski, R-Alaska, on the shutdown becoming the longest ever in U.S. history.
Gov. Ricardo Rossello said the wall should not be funded "on the pain and suffering" of USA citizens who have faced tragedy after a natural disaster.
"They're not going to write us a check", Hannity replied. They missed their first paychecks on Friday, heightening concerns about mounting financial pressures on employees, including air traffic controllers and airport security officials who are working without pay. "Many of our crimes, much - MS-13 comes through the border, drugs, a big proportion of the drugs from, you know, that we have from this country - in this country come through the border".
Fight for the Future launched a campaign Friday to fight against House Speaker Nancy Pelosi's (D-Calif.) suggestion on Thursday that a so-called "technological wall" would be an appropriate alternative to Trump's planned concrete or steel wall. "Humanitarian Crisis", he said.
The shutdown became the longest on record at midnight on Friday (0500 GMT Saturday), when it overtook the 21-day stretch in 1995-1996 under President Bill Clinton. "Build the wall!" and he pledged that Mexico would pay for it.
Transportation Security Administration workers have gone without pay during the shutdown and some have responded by calling in sick.
Trump is growing more frustrated as the shutdown drags on and is complaining that his aides are not offering him an exit strategy.
The current shutdown has affected some 800,000 United States workers, many of whom have been forced into unpaid leave - referred to as a furlough - while others have been forced to work without pay. Senate Democrats, whose votes would be needed to advance such legislation, have not indicated whether they would back it because they want the government to reopen instead.