He goes on to say that he remembers “with great fondness” Mr Trump’s visits to the UK during his “previous presidency”.
The King mentions Mr Trump visiting the golf course the US president owns in Turnberry and then appears to suggest a visit to Balmoral or Dumfries House in Scotland at some stage – estates owned or run by the monarch.
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He writes: “There is much on both Estates which I think you might find interesting and enjoy – particularly as my Foundation at Dumfries House provides hospitality skills-training for young people who often end up as staff in your own establishments!
“Quite apart from this presenting an opportunity to discuss a wide range of issues of mutual interest, it would also offer a valuable chance to plan a historic second State Visit to the United Kingdom.
“As you will know, this is unprecedented by a US president. That is why I would find it helpful for us to be able to discuss, together, a range of options for location and programme content.
“In so doing, working together, I know we will further enhance the special relationship between our two countries, of which we are both so proud.”
Image: The second page of the letter is signed off by the King
Sky News has contacted Buckingham Palace to ask when the second state visit might take place, and they said: “When diaries allow.”
This breaking news story is being updated and more details will be published shortly.