"I share his frustration", Nielsen said in a statement.
Trump's outburst was not only aimed at Nielsen, according to the Times, but the entire cabinet for not making enough progress in stopping illegal immigration and ensuring border security.
Throughout the interview, Trump blamed Nielsen for what he said was collapse to fasten USA borders, " the newspaper mentioned the officials.
A spokesperson from Nielsen's office denied the existence of such a letter to the Times, and White House press secretary Sarah Huckabee Sanders told the outlet that "the president is committed to fixing our broken immigration system and our porous borders" when asked to comment on the content of the Wednesday meeting.
The New York Times, which first reported Thursday afternoon that Trump had berated Nielsen, said that she had told colleagues she was close to resigning, citing several current and former officials familiar with the episode.
Mark Krikorian, the executive director of the Center for Immigration Studies, another hard-line group, said Ms. Nielsen's approach to border security is less like Mr. Trump's campaign messaging and more like the moderate approach taken by Mr. "[She would] continue to direct the Department to do all we can to implement the President's security-focused agenda".
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DHS oversees U.S. Customs and Border Protection. Border security is the most basic and necessary responsibility of a sovereign nation.
In recent weeks, Nielsen has announced measures aimed at deterring illegal migration, including criminal prosecutions for parents who cross the border illegally with their children.
Administration officials spoke on the condition of anonymity to provide a candid account of the private meeting.
One White House official said Nielsen was in the building again Thursday.
Kelly's concerns about "integration", critics say, give away the game of Trump's broader anti-immigrant vision. He urged voters to "give me some reinforcements, please" in the form of new Republican members.
"Honduras, Mexico and many other countries that the U.S.is very generous to, sends many of their people to our country through our WEAK IMMIGRATION POLICIES".
While border apprehensions dipped a year ago to their lowest levels ever, the numbers have been ticking up in recent months, returning to more typical historical levels. More recently, however, those numbers have climbed back toward the level they were in the final years of the Obama administration-an intolerable equivalence for Trump.
The incident came amidst the president's frustration over his administration's failure to fully fund the border wall.