Gov. Walz meets with federal "border czar" Tom Homan demanding a swift draw down of ICE operations

President Trump also reiterated Tuesday he supports an investigation of the shooting of Alex Pretti in Minneapolis

Minnesota Governor Tim Walz reportedly met with federal "border czar" Tom Homan late on Tuesday morning, and has demanded a swift draw down of ICE operations that have surged across the Twin Cities.

As federal forces start pulling back, NBC News is reporting that Walz asked Homan to support impartial investigations into the killings of Renée Good and Alex Pretti, something President Donald Trump also signaled support for in conversations on Monday.

Before leaving for Iowa Tuesday morning, Trump briefly spoke with reporters on the White House lawn and again said he supports an investigation of the shooting.

"We're doing a big investigation," said Mr. Trump. "I want to see the investigation. I'm going to be watching over it. I want a very honorable and honest investigation."

Walz has also confirmed in an interview with The Bulwark he still has no information on the Border Patrol agents involved in Pretti's shooting, including their names.

Reports also say Walz has tapped the Minnesota Department of Public Safety to ensure the White House makes good on its promise to end the "campaign of retribution," and will make them the primary point of contact for Homan.

Minneapolis Mayor Jacob Frey is also reportedly set to meet with Homan, perhaps on Tuesday.

Department of Homeland Security Secretary Kristi Noem, who had been fronting the operation in Minnesota along with Border Patrol's Greg Bovino, is facing internal scrutiny in the aftermath of a fatal shooting of Pretti. That is according to multiple sources who talked to CBS News.

But those reports also note Noem is expected to keep her job, something Mr. Trump confirmed Tuesday. "No," Trump said when asked if Kristi Noem is going to step down.

Sources said Noem was at the White House Monday and faced questions about her department's handling of the shooting and its response. Her focus is expected to shift from interior enforcement operations to securing the southern border and other priorities.

Noem and top aide Corey Lewandowski had elevated Border Patrol official Gregory Bovino and tasked him with overseeing highly publicized and controversial immigration raids in cities like Los Angeles, Chicago, Charlotte, New Orleans and most recently, Minneapolis.

Bovino, who was given a new title of "commander" and reported directly to Noem, sparked internal rifts at DHS between those who supported his aggressive tactics and those who believed they were undermining public support for the administration's deportation campaign according to reports from CBS.

Bovino left his post in Minnesota and returned to his regular job as the chief agent in California's El Centro sector.

One official said serious threats against Bovino in Minnesota, including death threats, factored into the administration's decision to pull him from the operation there.

Tom Homan, with whom sources say Noem has had a frosty working relationship, is now leading the Minneapolis operation. Multiple sources told CBS News Homan was in the West Wing to strategize Monday, before departing for the Twin Cities.

On Monday, dozens more congressional Democrats agreed to join as co-sponsors of legislation seeking to impeach Noem, amid the torrent of negative headlines and controversy.

CBS News contributed to this story.

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