In the interview, Trump insisted that he would have negotiated the deal differently than May, and he said that he had provided the prime minister his "views on what she should do and how she should negotiate".
Trump and Mrs May are having a working lunch at Chequers, her country retreat in Buckinghamshire today.
White House press secretary Sarah Huckabee Sanders issued a statement after the interview was published, saying Trump "likes and respects Prime Minister May very much".
"It will certainly be something that we bring up and talk about", the U.S. president said.
"I would say I would give our relationship in terms of grade the highest level of special", Trump said.
While many people are marching in protest of Donald Trump's controversial policies such as the separation of immigrant children from their parents in detention centres and the travel bans, Trump's recent tweets about the United Kingdom are also adding fuel to the fire.
Trump angered European allies at a North Atlantic Treaty Organisation summit this week and then accused British Prime Minister Theresa May of being too soft with the EU on Brexit negotiations.
"Donald Trump is in many ways a controversialist", he told the BBC. "It's called fake news", he added.
Responding to Trump's criticism of his response to terrorism, Khan said it was "interesting" that the USA president "is not criticising the mayors of other cities" which have also experienced terror attacks.
"I know you'll ask, 'Will we be talking about meddling?' And I will absolutely bring that up", Trump said.
Trump told The Sun newspaper that May's plan for Brexit had probably killed off the chance of a U.S.
Foreign Minister Boris Johnson also resigned citing his disappointment with the proposals, which he said "stick in the throat".
Still, his comments in the Sun caused May intense embarrassment in a week when her cabinet is beset by division, her compromise plan to exit the European Union is being excoriated by her domestic critics, and rebels in her Conservative Party are threatening a no-confidence vote.
His bombshell in the printed media can only have left Mrs May deeply apprehensive about what the President might say when standing alongside her in front of the world's TV cameras following their talks at Chequers on Friday.
May said the United States was "keen" to do a "ambitious" deal with the UK, and added: "We will do a trade deal with them and with others around the rest of the world". "She is just an incredible woman", Trump said.
"I think he is a great representative for your country".
Trump also claimed Khan - with whom he has clashed in the past - has "done a very bad job on terrorism".
The Daily Mail writes that a "rent-a-Lefties" protested in London, and that Mr Trump saw the "best and worst of Britain".
Excerpts from Trump's bombshell interview were published Thursday just as the president was scheduled to dine with May at the palace.
Essentially Apple Inc . customers in India will have configurable processor, RAM, storage, and graphics card options. Apple said the third-generation butterfly keyboard on the new MacBook Pros will allow for quieter typing.
Winger Ivan Perisic levelled scores on the 67th minute after a great cross from defender Sime Vrsaljko. For Croatia , it's on the brink of arguably the most shocking World Cup title run in modern history.
Besides the charges of financial fraud in Virginia, he faces charges in Washington, including violating federal lobbying laws. Manafort is innocent and nothing about the latest allegation changes our defense", Manafort spokesman Jason Maloni said.
In picking a replacement for Anthony Kennedy, the president tilts the philosophical balance of the high court . As of now, 17 states have laws that will ban or greatly restrict abortion the minute Roe is overturned.
He also noted that Europeans spend about as much on defense as China and more than Russian Federation . On top of that we lose $151 Billion on Trade with the European Union . "Explain that", Trump said.
But Tory MPs lashed the Brexit blueprint for recreating the "worst parts of the EU" today as it was published for the first time. The tousle-headed blond Johnson is one of Britain's best-known politicians, and one of the most prominent advocates for Brexit.
The last men's semifinal to be finished on Saturday was in 2007, between none other than Nadal and Djokovic. Anderson again broke the hard-serving American in the fourth set on his way to forcing a deciding set.
The Iranian leader, however seemed to suggest otherwise, promising that the U.S. presence in Syria would eventually be removed. Israel has been on high alert as Syrian President Bashar al-Assad's forces advance against rebels near the Golan and Jordan.
Taking a break from being an all-purpose bogeyman, Russia, we're told, saved the day and the United States was thwarted. The baby formula companies are predominately American or European, including Nestle and Mead Johnson .
Serena Williams nears 8th Wimbledon title, 24th Slam overall
We can not just see 23-time Grand Slam champion is just a match away from drawing level with Margaret Court's all-time mark of 24. The victory over Goerges extended Williams' winning streak at Wimbledon to 20 matches, dating to the start of the 2015 edition.
Chelsea To Use Diego Costa Text In Case Against Antonio Conte
Conte and his staff leave as part of a £9m compensation package clear-out just 28 days before the start of the new league season. If Conte receives the £9 million that he is entitled to if he does not work next season, it will take Chelsea's spending on...
China's Trade Surplus With the US hits record high
China's exports rose 11.3% in June from a year earlier, compared with a 12.6% increase in May, customs data showed. Traders work on the floor of the New York Stock Exchange (NYSE) in New York, U.S., July 11, 2018.
Prince Louis on best behaviour for his big day
The Duke and Duchess of Cambridge chose two hymns for the ceremony - "O Jesus, I have Promised" and " Lord of All Hopefulness ". Prince Louis had a big day on Monday as family and close friends gathered for his royal christening.
All 12 boys, coach rescued from flooded Thai cave
The boys, ages 11-16, and their 25-year-old assistant coach became stranded when they went exploring inside after a practice game. A Thai military evacuation helicopter near a cave in Mae Sai, Chiang Rai province, northern Thailand .
'Game of Thrones' leads Emmys field with 22 nominations
One show that stars a pair of local natives and has been nominated in the past was shut out in every major category. Diana Rigg's turn as Olenna Tyrell in the series has seen her nominated for Guest Actress in a Drama Series.
1st LD: Trump starts United Kingdom visit amid protests
His mother - my grandmother - is from Scotland. "It's a big part of his life, pre-politics, and that can only be a positive". It is not a state visit, so the President will stay with the USA ambassador in London instead of being hosted by the Queen.