(WASHINGTON) — The standoff between Democrats and the White House over Department of Homeland Security funding and immigration enforcement continued on Wednesday, with both sides digging in as the partial government shutdown hit its fifth day.

White House press secretary Karoline Leavitt called the counteroffer made by Democrats “very unserious,” while House Minority Leader Hakeem Jeffries remained firm that Democrats would not back away from their demands for reform.

President Donald Trump, who had said he would be personally involved in negotiations, hasn’t yet spoken with Democrats, according to Leavitt.

“He hasn’t had any direct conversation or correspondence with Democrat lawmakers recently. It doesn’t mean he’s not willing to. I’m just not aware of any conversations that have taken place,” she told reporters at Wednesday’s press briefing.

Funding for DHS lapsed on Saturday, affecting agencies like the Transportation Security Administration, the Federal Emergency Management Agency, U.S. Coast Guard and the U.S. Secret Service.

A majority of DHS employees are expected to work during the shutdown, though they could miss a paycheck.

FEMA has paused almost all travel related to the agency’s work, according to multiple sources familiar with the decision, though travel related to disaster relief will continue.

“These limitations are not a choice but are necessary to comply with federal law. FEMA continues to coordinate closely with DHS to ensure effective disaster response under these circumstances,” a FEMA spokesperson said.

U.S. Immigration and Customs Enforcement, which is at the center of the funding fight after two fatal shootings of American citizens by federal agents in Minneapolis, and U.S. Customs and Border Protection remain operational due to billion-dollar infusions from Trump’s massive spending and tax-cut bill passed by Republicans in Congress last summer.

Democrats have asked for a range of new restrictions on immigration enforcement, including a mandate for body cameras, judicial warrants before agents can enter private property — rather than administrative warrants — and a ban on ICE agents wearing face masks. They also want stricter use-of-force policy and new training standards for agents.

The White House and Democrats have traded offers over the past week, though the details haven’t been released publicly. Both sides have called the other’s proposals “unserious.”

“We’ve been engaged in good faith negotiations with the Democrats … They sent over a counterproposal that, frankly, was very unserious. And we hope they get serious very soon because Americans are going to be impacted by this,” Leavitt said on Wednesday.

Jeffries said Wednesday the ball was in the White House’s court.

“We’ve reiterated our perspective on the types of things that are absolutely necessary in order for a DHS funding bill to move forward, all anchored in this principle that ICE needs to conduct itself like every other law-enforcement agency in the country, and stop using taxpayer dollars to brutalize the American people,” he said. 

Trump said on Sunday he didn’t like some of what Democrats are asking for, and emphasized his administration is “going to protect ICE.”

In the wake of the killings of Alex Pretti and Renee Good in Minneapolis during the administration’s immigration crackdown and resulting protests, an ABC News review found multiple examples of public statements appearing to be in inaccurate that the agency initially made after using force. 

One example occurred last month in Minneapolis when Julio Sosa-Celis, a Venezuelan migrant, was shot in the leg by an ICE agent.

At the time, DHS said its agents were “violently assaulted … with a shovel and broom handle.” ABC News obtained a frantic 911 call made by apparent relatives saying agents fired the shot as Sosa-Celis ran away. Todd Lyons, the acting director of ICE, later said two of his agents appear to have made “untruthful statements” about the moments before the shooting. Both officers were placed on administrative leave and Lyons said they may face federal charges.

Another case unfolded in Chicago last October when Marimar Martinez, an American citizen and teacher’s assistant, was shot five times by federal agents.

DHS initially said that the agents were “forced to deploy their weapons and fire defensive shots at an armed US citizen” after their SUV was “rammed by vehicles and boxed in by 10 cars.” But an ABC News analysis of video footage shows that agents were being followed by two, not 10 vehicles, and that at no time was their vehicle blocked from the front. A CBP spokesperson said in a statement that the officer who shot Martinez was placed on administrative leave following the incident and the Department of Justice dropped the charges against Martinez.

ABC News’ Luke Barr contributed to this report.

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