President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE in a new interview chided acting chief of staff Mick Mulvaney Mick MulvaneyOn The Money: House panel pulls Powell into partisan battles | New York considers hiking taxes on the rich | Treasury: Trump's payroll tax deferral won't hurt Social Security Blockchain trade group names Mick Mulvaney to board Mick Mulvaney to start hedge fund MORE for throwing cold water on the chances of completing an infrastructure deal with Democrats.

In an interview on "The Next Revolution" on Fox News, host Steve Hilton noted Mulvaney's skeptical comments coincided with a meeting late last month between Trump and Democratic leaders at the White House.

"If Mick Mulvaney said that then he has no right to say that," Trump said. "He tells me didn’t say that, and he didn’t mean it. He said it’s going to be hard to finance."

Listen below to what @realDonaldTrump says about his infrastructure plan and his acting Chief of Staff Mick Mulvaney to @SteveHiltonx - don’t miss Steve’s full interview this Sunday at 9PM ET on @FoxNews! #NextRevFNC pic.twitter.com/A8E6Y6Mtfb — The Next Revolution (@NextRevFNC) May 17, 2019

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Mulvaney was asked during an appearance at a Milken Institute conference in California last month about the prospects of an infrastructure package coming to fruition.

"Do I think there’s an interest in doing it? Yes. Do I think there’s probably more interest, especially on the Democrats' part, to make a show for trying to get a deal? Yeah," Mulvaney said.

Mulvaney indicated that he had expressed reservations to Trump about the viability of an infrastructure deal bearing fruit before he left office. He pointed to government regulations that lengthen the process and argued Democrats would be unwilling to eliminate those rules.

Trump told Hilton in the interview, set to air Sunday evening, that he still wants to work on infrastructure. But the president himself expressed concerns that Democrats might be luring him into a trap.

"I also think we’re being played by the Democrats a little bit," he said. "You know I think what they want me to do is say ‘Well what we’ll do is raise taxes,’ and we’ll do this and this and this, and then they’ll have a news conference, see, Trump wants to raise taxes. So it’s a little bit of a game.”

Democratic lawmakers and Trump agreed following last month's meeting to pursue a $2 trillion infrastructure package.

Speaker Nancy Pelosi Nancy PelosiHoyer: House should vote on COVID-19 aid — with or without a bipartisan deal Ruth Bader Ginsburg lies in repose at Supreme Court McCarthy threatens motion to oust Pelosi if she moves forward with impeachment MORE (D-Calif.) and Senate Minority Leader Charles Schumer Chuck SchumerCruz blocks amended resolution honoring Ginsburg over language about her dying wish Senate Democrats introduce legislation to probe politicization of pandemic response Schumer interrupted during live briefing by heckler: 'Stop lying to the people' MORE (D-N.Y.) are scheduled to return to the White House next week for a follow-up meeting to discuss how to fund the proposal. It's unclear if other lawmakers, including any Republicans, will attend.

A sweeping infrastructure package was thought to be one of the few areas where Democrats and the White House could find common ground, but members of both parties have raised some concerns about the prospect of such a deal.

Congressional Republicans have signaled they are unlikely to support an infrastructure package with such a hefty price tag unless they can reach a deal on how to pay for it without adding to the deficit.

Some Democrats have questioned whether it's worth it to give Trump a win on infrastructure when the president has stonewalled investigative oversight efforts. Others in the party have argued the Democrat-held House should move forward with an infrastructure bill regardless of White House buy-in and put pressure on Republicans to act.