British tabloid newspaper The Sun published an interview with Trump on Thursday, where the president blasted May's Brexit negotiations, as well as European immigration policy, North Atlantic Treaty Organisation and London Mayor Sadiq Khan.
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The exchange came after the firebrand Republican told The Sun: "I actually told Theresa May how to do it but she didn't agree, she didn't listen to me".
"We agreed today that as the United Kingdom leaves the European Union we will pursue an ambitious U.S. -UK free trade agreement", she said.
The American firebrand's remarks were revealed while the President dined with Mrs May at a lavish black-tie dinner at Blenheim Palace, during which she has made a case for a new trade deal with the US.
On Thursday, CBS News' Haley Joelle Ott reports protesters numbering in the dozens showed up to express their outrage over the Trump administration's recently policy about separating children from their families at the border.
"No, no, no, no. I don't think so", Trump said. "They are just a lobbyist for Amazon".
Trump also heaped praise on Boris Johnson, who resigned as foreign secretary this week along with Brexit Secretary David Davis in protest at May's strategy.
Speaking with The Sun newspaper after arriving in the country yesterday, Trump described Johnson as "a very talented guy" for whom he had "a lot of respect".
Looking ahead to his meeting with Russian president Vladimir Putin on Monday, Trump said he would be discussing many topics but his biggest hope was an agreement to substantially reduce nuclear proliferation - his ultimate dream was to get rid of the weapons altogether, he said.
He added: "You have a mayor who has done a bad job in London".
Organizers blasted audio in the direction of the ambassador's house, which they said was a recording of child migrants who had been separated from their parents while trying to enter the United States. He obviously likes me, and says very good things about me'.
This is what White House spokespeople do when a statement they're tasked to deliver is ridiculous and they'd rather attribute it to Trump rather than sacrifice their own credibility.
He also suggested former Foreign Secretary Boris Johnson would make a great prime minister. Trump said Khan had done "a bad job" on terrorism and crime in the capital. "I get along with her very nicely", Trump said. "If you really look, she probably went the opposite way".
While his schedule studiously avoids any high-profile events in London, the British capital will see a mass demonstration and rally Friday, one of several protests across Britain including a tuneful one by a group of opera singers.
Other politicians within May's Conservative party criticized Trump for insulting the prime minister as she hosted him for part of his four-day trip to Britain.