(CNN) President Donald Trump suggested shooting migrants in the legs in order to slow them down after they crossed the southern border during a March meeting in which he called for a shutdown of the entire US-Mexico border, The New York Times reported Tuesday.

The Times -- in an excerpt from the book "Border Wars: Inside Trump's Assault on Immigration" that cites interviews with more than a dozen White House and administration officials directly involved -- reported that Trump had moved on from the idea by the end of what the paper described as a "frenzied week of presidential rages." But he had also pivoted to removing staff who had opposed him, an idea largely advocated by White House aide Stephen Miller in his push for greater influence on immigration policy. CNN has reached out to the White House for comment on the report.

The meeting included Miller, then-Homeland Security Secretary Kirstjen Nielsen, Secretary of State Mike Pompeo, then-Customs and Border Protection chief Kevin McAleenan, acting chief of staff Mick Mulvaney, presidential adviser and son-in-law Jared Kushner and other senior staff, according to the paper.

"You are making me look like an idiot!" Trump shouted during the meeting, adding in a profanity, multiple officials in the room told the Times. "I ran on this. It's my issue.''

The Times report is a look into how complicated the tense issue of immigration is for an administration that has so far failed to fulfill the President's signature campaign promise of building a wall along the southern border. Migration over the southern border has been at the root of much of Trump's most frenzied rhetoric, including referring to migrants who enter the country illegally as an "infestation" and an "invasion."

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