"I think we might work a deal, and if we don't we might go that route", he said. That's because the federal government has been partially shutdown for over two weeks.
Late in the day, Democratic and Republican congressional leaders were to return to the White House to meet with him and renew negotiations that have shown no apparent progress in the past week.
Mr Trump has been discussing the idea of declaring a national emergency to allow him to circumvent Congress and move forward with the wall.
Trump, though, is expecting his new persona of a self-possessed politician turning attention to the drug problem and minorities' loss of jobs due illegal immigration would sway voters to call their legislators to support the wall.
Canada: 14 arrested at indigenous anti-pipeline protest camp as tensions rise
Officers are now speaking at the Morice West Forest Service Road bridge's fortified checkpoint created by the protesters. The UBCIC is calling "upon the Canadian Justice system to uphold the human rights and dignity of Indigenous peoples".
The President's address was the latest in a series of public appearances - including a Cabinet meeting, a statement in the White House briefing room at which he was flanked by border patrol officers, and a news conference last week - in which Mr Trump simply reiterated his demands without offering any concessions.
Chuck Schumer, the Democratic leader in the Senate, told journalists: "The president just got up and walked out". A wall. Who is going to pay for it?
Hoping to demonstrate flexibility during his almost 10-minute speech from the White House Oval Office, Trump said of the border barrier he wants built: "At the request of the Democrats it will be a steel barrier and not a concrete wall".
House Speaker Nancy Pelosi, D-Calif., speaks at an event alongside Senate Minority Leader Chuck Schumer and federal government employees who are asking for an end to the partial US government shutdown on Wednesday.
Amid a government shutdown and risking defection from the hardline right on his hallmark political issue, President Donald Trump addressed the nation from the Resolute Desk Tuesday night.
Trump claims he's cutting FEMA aid for California wildfires
He doesn't have the power to unilaterally cancel federal funding for a particular agency's activities in a particular state. Trump tweeted that "unless they get their act together ..." "Attacking victims is yet another low for this president".
He claimed to have met "dozens of families whose loved ones were stolen by illegal immigration.I've held the hands of the weeping mothers". "... We have a crisis at the border... it is national security; it's a national emergency".
Both sides see little political downside to standing firm.
At Wednesday's press conference, Senate Minority Leader Chuck Schumer took a swipe at another claim Trump made during his Rose Garden news conference: that some former US presidents have confided to him that they wished a border wall had been built while they were in office. So sad. So bad.
"The president continues to say things that are simply not true, and unfortunately, he has been able to get away with some of these things".
In fact, a study by the libertarian Cato Institute past year found that crime rates among immigrants in Texas - both legal and unauthorized - were lower than those among native-born Americans.
Gonzalo Higuain close to joining Chelsea after both sides agree terms
Higuain previously spent six years at Real Madrid after starting his career at River Plate in Argentina. Seeing as he is here, he needs to knuckle down and actually do something for this team.
He said his administration's proposal also includes technology upgrades to detect drugs and weapons, money to hire more border agents and to increase the number of beds available to house those detained trying to cross the border.