At the time, Trump drew boos when he said of Clinton, 'Here she is tonight, in public, pretending not to hate Catholics'.
At a separate White House meeting on Wednesday, several members of the president's national security team mentioned Grenell's name when asked to recommend their favored candidates for the USA ambassador to the United Nations position, two other administration officials said.
Outgoing United Nations Ambassador Nikki Haley showed off her sense of humor during a speech at a high-profile charity dinner in New York City on Thursday night.
Ms Haley recounted that as she prepared for the dinner - hosted by Cardinal Timothy M. Dolan and attended by the state's political elites - Mr Trump gave her some advice.
In front of a crowd of about 700, including Mayor Bill de Blasio, billionaire Michael Bloomberg, and Gov. Andrew Cuomo, Haley poked fun at Trump, Sen. Elizabeth Warren, D-Mass., are "from the same tribe". "I get it", she said. "If I get stuck for laughs just brag about his accomplishments", Haley said, to laughs. It really killed at the UN. "Two years ago President Trump was here and he made some waves with his remarks, apparently no one here could have predicted that".
Haley, who recently announced she will leave her post at the end of the year, proceeded to do just that.
'So this year you wanted to spice things up again, right? "You wanted an Indian woman, but Elizabeth Warren failed her DNA test". But that hasn't stopped some from confusing her Indian heritage with Native Americans - including, she joked, the president.
No stones pelted at train, driver lied: Eyewitnesses on Amritsar train tragedy
The protestors were raising slogans against the state government and demanding resignation of Punjab minister Navjot Singh Sidhu. Railway Board chairman Ashwani Lohani said it was not a "railway accident" but a case of trespassing on rail tracks.
When I saw the mayor back stage I told him I was really glad to be here. 'As a member of the Trump cabinet it is a thrill to be out to dinner without being harassed'.
"Everyone in Washington called me with advice about this speech".
"I saw Jeff Sessions earlier today - not in NY".
"In the last two years, I've seen true evil", Ms Haley continued. "Actually, we both were".
Haley turned to de Blasio, who was seated near his fellow Democrat Andrew Cuomo, the governor of NY, and reminded him that she has "diplomatic immunity" as a member of the United Nations delegation. Actually, there was a benefit.
Haley later poked fun at the lack of free press in Iran saying, "They still think John Kerry is secretary of state".