He was then said to have read out a list of how many immigrants from different countries had received visas so far in 2017.
John Kelly, the current White House chief of staff, was then the secretary of homeland security and asked that the room be cleared of staff, but aides could still hear the president yelling from behind the closed door.
Several other people who attended the meeting also told The Times they did not recall the comments, but the two officials who described them found them so significant they told others about them at the time.
He branded Afghanistan, which had 2,500 of its citizens getting U.S. visa, a terrorist haven.
For Christmas, Ohio teachers get wine bottles with student's face on labels
It's a photo of Jake Sommers, with the title "our child might be the reason you drink, so enjoy this bottle on us". Mary Sommers said the wine bottles seemed like an appropriate gift. "[Jake] always has something to say".
Of the 40,000 Nigerian immigrants who had been granted entry, he is alleged to have said they would "never go back to their huts in Africa" now that they had seen the United States.
Trump's effort to change US immigration policy has been a disorderly and sometimes dysfunctional process, the Times story noted, but even as he has been frustrated by the limits on presidential power, his plans have gained increasing momentum as the White House became more disciplined.
The White House is said to have confirmed the meeting.
But as the debate progressed, Kelly and Stephen Miller, Trump's domestic policy adviser, reportedly began blaming Tillerson for the flood of foreigners.
Trump won the 2016 election while promoting his long-promised wall along the southern border of the United States, a ban on Muslim immigrants and putting America first.
Reports of Trump's remarks come as his administration has sought to dramatically reshape the U.S. immigration system from almost every angle possible.
The White House swiftly responded to the publication yesterday, saying Trump had not used such language although it did not dispute the thrust of the conversation in question.