Later, Trump and his wife attended a black-tie dinner hosted by May at Blenheim Palace, the birthplace of Winston Churchill, before returning to Winfield for the night.
But despite all the mass protests planned for his visit - the first of which are now taking place outside Winfield House, where the President spent the afternoon - he declared "people like me there".
Mr Trump flew to Britain after a somewhat chaotic 28 hours at the North Atlantic Treaty Organisation summit in Brussels, where he characteristically claimed victory over his demand for the allies to increase their defence spending.
A giant baby Trump blimp is set to fly over London during the USA president's visit to the UK.
The President of the United States of America visits the UK this week, and if he was any other leader it would be a simple exercise in worldwide politics. Organizers now say they hope to take the blimp on a "world tour", following Trump on his worldwide diplomatic engagements.
"I believe that the people in the UK - Scotland, Ireland, as you know I have property in Ireland, I have property all over - I think that those people they like me a lot and they agree with me on immigration". "And I believe it", the president said past year of the welcome he was shown by China's President Xi.
The biggest protests are set for Friday, when demonstrators plan to march through central London and float a huge balloon depicting Mr Trump as a baby in diapers over the Houses of Parliament.
Blimp organizer Leo Murray said it had been created to speak to Trump "in a language that he understands, which is personal insults".
Classmates of trapped boy in Thai cave reveal heart-warming gesture
The IT tech said that the divers were not heroes and directed attention to the rest of his team and the Thai Navy Seals. Volanthen and fellow Brit Rick Stanton were the first rescuers to find the boys deep in the Tham Luang cave complex.
During his 4-day visit to Great Britain, Trump plans to focus on Iran, the economy and trade.
10 Downing Street said she would be meeting with schoolchildren and veterans on Friday, accompanied by Philip May, U.K. Prime Minister Theresa May's husband.
Johnson resigned as UK Foreign Secretary over May's handling of Brexit, a move that saw Britain vote to leave the European Union in June, 2016, following a referendum.
"I get thousands of notifications from people in the UK that they love the President of the United States". Vince Cable, the leader of the pro-EU Liberal Democrats, said, "Most of us don't think he is particularly good judge on Brexit or anything else".
Many Britons are opposed to Trump's trip which is not the full state visit he was originally promised with the pomp and ceremony that entails.
"This week we have an opportunity to deepen this unique trading relationship and begin discussions about how we will forge a strengthened, ambitious and future-proof trade partnership".
Protests are also planned in Scotland when he travels to play golf at his Trump Turnberry course.
Trump will depart Britain Friday for Finland to prepare for a summit with Russian President Vladimir Putin Monday in Helsinki.