The Financial Times also runs with Mr Trump "switching tack" as he aims to "mend bridges".
"I would actually say that she probably went the opposite way".
"Unfortunately, there was a story that was done which was generally fine but it didn't put in what I said about the prime minister and I said a tremendous thing".
But Trump's visit came against the backdrop of tensions in the trans-Atlantic alliance: Mass protests of Trump in the streets of London, his second-guessing of May's handling of Brexit in an interview with a British newspaper and a string of worldwide summits that have often pitted the US against its traditional allies.
The Daily Mail writes that a "rent-a-Lefties" protested in London, and that Mr Trump saw the "best and worst of Britain".
Trump followed a similar pattern at this week's North Atlantic Treaty Organisation summit by slamming US allies at the outset but ultimately claiming North Atlantic Treaty Organisation was stronger than it was before.
And the Daily Star reports on TV and radio host Richard Bacon, who is ill in hospital.
Meanwhile, shadow foreign secretary Emily Thornberry said the Prime Minister May "should be standing up to [Mr Trump]" after he "slagged her off", instead of holding his hand.
Revealing he had apologized to the prime minister earlier in the day for the interview published in The Sun, Trump said he had confidence in the job May was doing.
"The Chequers agreement reached last week provides the platform for Donald and me to pursue an ambitious deal that works for both countries right across our economies", May said in defence of her controversial Brexit strategy.
He added, "I said, 'Brexit will happen.' The vote is going to go positive, because people don't want to be faced with the terrible immigration problems that they are being faced with in other countries".
While he spoke highly of Johnson, he also heaped praise on May, calling her an "incredible woman" who is "doing a fantastic job".
"I said Brexit will happen and it did happen", he added.
"She said: 'Don't worry it's only the press.' I thought that was very professional".
Towering over the queen, Mr Trump and the monarch shared a few interactions as they reviewed troops at the royal castle in Windsor.
President Donald Trump paid tribute to the legacy of Winston Churchill on Friday amid questions about whether he's putting new strains on the "special relationship" between the US and the United Kingdom that was forged more than 70 years ago.