WASHINGTON — President Donald Trump said Friday he could keep parts of the government shut down for “months or even years” as he and Democratic leaders failed in a closed-door meeting to resolve his demand for billions of dollars for a border wall with Mexico. They did agree to a new round of weekend talks between staff members.

Trump met in the White House Situation Room with congressional leaders from both parties as the shutdown hit the two-week mark amid an impasse over his wall demands. Democrats emerged from the roughly two-hour meeting, which both sides said was contentious at times, to report little if any progress.

The standoff also prompted economic jitters and anxiety among some in Trump’s own party. But he appeared in the Rose Garden to frame the upcoming weekend talks as progress.

“We won’t be opening until it’s solved,” Trump said. “I don’t call it a shutdown. I call it doing what you have to do for the benefit and the safety of our country.”

Trump said he could declare a national emergency to build the wall without congressional approval, but would first try a “negotiated process.”

Trump said the hundreds of thousands of federal workers who are furloughed or working without pay would want him to “keep going” and fight for border security. Asked how people would manage without a financial safety net, he declared: “The safety net is going to be having a strong border because we’re going to be safe.”

Democrats spoke of families unable to pay bills and called on Trump to reopen the government. Trump confirmed that he privately told Democrats the shutdown could drag on for months or years, though he said he hoped it wouldn’t last that long. “I hope it doesn’t go on even beyond a few more days,” he said.