Theresa May and Donald Trump's relationship is "very, very strong", the US president has said, following his controversial comments on Brexit.
Speaking at the PM's country retreat Chequers, Mr Trump said his first official visit was "really something".
He did not respond to questions about his earlier interview with the Sun, in which he said Mrs May's plan would "probably kill" any US-UK trade deal.
Meanwhile, a blimp of Mr Trump as a baby is floating in central London.
It is part of a demonstration against the US president in Parliament Square, one of many due to take place across the UK on Friday.
Speaking before bilateral talks on Friday, Mrs May said she and Mr Trump had "a lot to discuss" including the "special relationship" between the UK and US and a possible trade deal.
"And of course we will discuss foreign policy and defence and security issues, where we work really closely together with the US," she said.
Mr Trump said they had "just looked at some incredible anti-terrorism things that are being done here in conjunction with the United States".
Mr Trump's interview with the Sun - which was conducted while he was in Brussels earlier this week - was published on Thursday evening, as Mr Trump and wife Melania were at a black-tie dinner with Mrs May. The US president and first lady received a red carpet reception at Blenheim Palace.
In the interview, Mr Trump said that former Foreign Secretary Boris Johnson - who disagrees with the PM on Brexit and resigned this week - would make a "great prime minister", adding "I think he's got what it takes".
He also renewed his criticism of London Mayor Sadiq Khan over last year's terror attacks in London, saying he had done "a terrible job".
Downing Street has not yet reacted to Mr Trump's remarks, but Chancellor Philip Hammond said the talks would be "very positive".
After it was published, White House spokeswoman Sarah Sanders said the president "likes and respects Prime Minister May very much", adding that he had "never said anything bad about her".
Mr Trump - who has been a long-time supporter of Brexit - told The Sun that the UK's blueprint for its post-Brexit relations with the EU was "a much different deal than the people voted on".
He said the Brexit proposals Mrs May and her cabinet thrashed out at the PM's country house Chequers last week "would probably end a major trade relationship with the United States."