New questions after briefing on Niger Dems get testy twice with Trump Homeland Security chief The Hill's 12:30 Report - Sponsored by Pfizer - Trump expected to exit Iran deal MORE was reportedly close to resigning after President TrumpDonald John TrumpTrump greets 3 American detainees freed by North Korea Trump called Blankenship after Senate primary loss: report Education Dept to relax rules restricting faith-based institutions from getting federal aid MORE berated her during a Cabinet meeting.
Nielsen has drafted a resignation letter but has not submitted it, The Times reported.
But Trump's anger didn't end with Nielsen, the outlet said.
Trump has asked for frequent updates about the number of people attempting to cross the border illegally and has grown increasingly irritated at the recent trends.
As head of Homeland Security, Nielsen oversees a 20,000-person work force under Immigration and Customs Enforcement. However, a representative for the Department of Homeland Security, Tyler Q. Houlton, denied the idea, firmly labeling it "false".
"I share his frustration", she added.
Nielsen then issued a statement of her own, which seemed to acknowledge the blow-up but blamed Congressional inaction further making it unclear what exactly went on.
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In return, Nielsen reportedly defended her stance and cited laws in several instances to support her comments.
Trump has been a long critic of the current immigration system.
One person familiar with Trump's blowup at the meeting said it was prompted by a discussion about why Mexico was not doing more to prevent illegal border crossings into the United States.
"All these are complicated matters and I will keep on to guide the Department to accomplish everything that we are able to in order to implement the President's security-focused schedule", she added, without saying anything regarding resignation programs.
Trump has growing increasingly angry about his inability to secure the border and has repeatedly called on Congress to pass new legislation to strengthen what he calls the nation's "horrible" immigration laws.
While border apprehensions dipped past year to their lowest levels ever, the numbers have been ticking up in recent months, returning to more typical historical levels.
He declined to say whether Nielsen had been treated fairly in the meeting, saying only, "We had a good Cabinet meeting", during a brief question-and-answer session in the White House Rose Garden.
Trump said Saturday the USA might have to "close up our country" to get better control of its borders.