Meanwhile, Kathinka Froystad addressed the President directly, saying: "Dear Mr President, I am glad you enjoyed meeting my prime minister, but I am quite happy where I am and would not even dream of settling down in the United States during your s***hole, racist and misogynist regime".
This came after two senators presented details of a bipartisan immigration deal which Trump rejected.
Trump scrapped an Obama-era program that gave the 800,000 young immigrants legal protection, setting a March deadline for Congress to offer a fix - though it has been reinstated by a court, for now.
Although it is being taken as a denial of the "sh*thole" comment, Mr. Trump did not specifically reference that phrase in his denial. One woman he interviewed said she might consider trying the American dream: "If they get a new president". I could tell you how I have spent an inordinate amount of time and energy, throughout my life, educating people about Haiti and disabusing them of the damaging, incorrect notions they have about the country of my parents' birth. Made up by Dems.
The government of Haiti said in a statement it was "deeply shocked and outraged" by Trump's remark - and called it "racist".
Ghana President Nana Akufo-Addo has said US President Donald Trump's alleged description of African nations as "sh**hole countries" is unacceptable.More news: British govt says Trump cancelled United Kingdom visit for fear of protests
El Salvador slammed them as "deplorable".
He added, "The issue was more than "vulgar language".
USA missions went into damage control mode. "Haitians should not be seen as a bunch of immigrants who come to the United States to exploit USA resources".
Among other objections, Trump said the plan did not provide proper funding for the proposed wall that he made a center-piece of his election campaign. It is grotesque and we must endure it for another three or seven years, given that the Republicans have a stranglehold on power right now and are more invested in holding onto that power than working for the greater good of all Americans.
The resolution could be embarrassing for Trump if Republican leaders of the lower house allow a vote on it. Lindsey Graham, R-S.C., described to Trump also includes his $1.6 billion request for a first installment on his long-sought border wall, aides familiar with the agreement said.
Mr Trump's reported remarks were remarkable even by the standards of a president who has been accused by his foes of racist attitudes and has routinely smashed through public decorum that his modern predecessors have generally embraced.
Nevertheless, the uproar has revived attention on previous remarks by Trump that have ignited accusations of racism.
The White House will determine what information will be released, to the public regarding the check-up, since Trump is not compelled to release any information soon.