But there have been political differences, including over the war in Iran, in which Trump publicly criticised UK Prime Minister Sir Keir Starmer as “no Winston Churchill”.
That followed a previous dispute when UK veterans were angered by an apparent downplaying by Trump of the UK’s military involvement in Afghanistan.
Both rows had raised questions about whether a state visit to the US in April should go ahead – with Lib Dem leader Sir Ed Davey saying it should be cancelled.
A YouGov survey last week suggested that 49% of the British public were against the state visit to the US while 33% wanted it to go ahead.
The visit also comes in the wake of Andrew Mountbatten-Windsor’s arrest – and US Congressman Ro Khanna has called for King Charles to meet survivors of the sex offender Jeffrey Epstein.
“As you are aware, this is not solely an American matter,” Khanna wrote in a letter to the King on Monday.
Mountbatten-Windsor has always denied any wrongdoing from his links to Epstein.
But while the formal announcement of the state visit might have been delayed, planning seems to have quietly continued in the background, with no signs of the visit being stopped.
The decision to hold a state visit is made by the government, with the King travelling on behalf of the Foreign Office.
Trump appears to be fascinated with the monarchy and to greatly value his relationship with King Charles – and the UK government seems ready to leverage this to improve links with the US and to reduce diplomatic tensions.