The pair met for talks focusing on climate on the eve of the crunch NATO summit in Lithuania. The president is spending just 24 hours in London.
His Majesty’s visit forms part of the Royal Family’s Holyrood Week, which will see the monarch stay in the capital for several traditional events in Scotland.
King Charles, 74, and Queen Camilla, 75, appeared in great spirits at the party at Lancaster House in London, to mark the 20th anniversary of wildlife conservation charity Elephant Family.
The monarch, 74, welcomed high profile guests – including the Queen rocker and astronaut Major Tim Peake to the official launch of the Astra Carta initiative at Buckingham Palace.
The Duchess of Edinburgh, 58, looked resplendent as she joined King Charles and Prince Edward at the Buckingham Palace reception for winners of The King’s Award for Enterprise.
After arriving at the Berkshire racecourse in a horse-drawn carriage, the newly-crowned monarch, 74, made his way up to the Royal box with his wife Queen Camilla.
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