King Charles and Prince William both arrived for royal engagements this afternoon while Prince Harry prepares to fly onto Nigeria after seeing neither during his quick visit to Britain.

The King was meeting military staff and their families at a training base for the Army’s Royal Engineers.

Charles, who is Colonel-in-Chief of the Royal Engineers, is visiting the 3 Royal School of Military Engineering in Minley, Surrey, before speaking to members of the 8 Engineer Brigade, which is the centre’s deployable unit.

The training base has world-class facilities which include target ranges, swimming pool, state-of-the-art fitness suite and a sailing lake.

Meanwhile William – also known as the Duke of Cornwall – arrived in Newquay where his Duchy of Cornwall has been in the process of building its first ever housing project to help address homelessness in Nansledan.

King Charles visits the 3 Royal School of Military Engineering in Minley, Surrey, this afternoon

King Charles III leaves Clarence House in London this morning as he travels to Surrey

The King smiles and waves as he is driven away from Clarence House in London this morning

It is thought the King has been receiving his cancer treatment as an outpatient midweek.

He hosted the first Buckingham Palace garden party of the season yesterday.

Charles, wearing a grey suit and light blue waistcoat, could be seen smiling to the crowds as he entered the garden with the Queen.

He was joined by the Princess Royal, the Duke and Duchess of Edinburgh and the Duke and Duchess of Gloucester.

Charles attended three events last week as he resumed engagements, indicating the positive effect of his treatment.

Prince William walks with Alastair Martin, Secretary of Duchy of Cornwall, during a visit to Nansledan in Newquay, to see the site of the Duchy of Cornwall’s housing project today

The Prince of Wales, known as the Duke of Cornwall when in Cornwall, at Nansledan today

The Prince of Wales is shown plans during a visit to Nansledan in Newquay this afternoon

The Prince of Wales, known as the Duke of Cornwall when in Cornwall, at Nansledan today

Prince William has arrived in Newquay today where his Duchy of Cornwall is in the process of building its first ever housing project to help address homelessness in Nansledan

On Monday, the Lord President of the Privy Council, Penny Mordaunt, said the King is feeling ‘very good’ and ‘would have been so pleased’ to return to public-facing events. 

The Privy Council is a body of senior advisers to the King.

Asked how Charles is doing, Ms Mordaunt told GB News: ‘He’s very good. And I know that he would have been so pleased to get back to public duties. He would have missed it tremendously.

‘I think everyone is really pleased to see him back and I know that he wants to do more, so it’s been a good week.’

There was speculation that the Duke of Sussex, who has travelled to the UK to celebrate the 10th anniversary of his Invictus Games, may have seen his father, but a spokesman for Harry said the King’s ‘full programme’ meant the get-together would not happen.

King Charles III and Queen Camilla attend a Buckingham Palace garden party yesterday

Prince Harry greets fans after the Invictus Games service at St Paul’s Cathedral yesterday

Charles and Harry last met soon after the King announced his cancer diagnosis in February. 

Harry, who lives with his family in California, travelled from the US to see his father.

A spokesman for the duke said: ‘In response to the many inquiries and continued speculation on whether or not the duke will meet with his father while in the UK this week, it unfortunately will not be possible due to his majesty’s full programme.

‘The duke of course is understanding of his father’s diary of commitments and various other priorities and hopes to see him soon.’