There is a shared sense that the visit by President Trump - first to Brussels, then London - could be awkward. The Politico website notes that it comes "at a low ebb in transatlantic relations".
The Daily Mirror is quick to respond, saying "this is a calm country, compared with a divided America." And it encourages demonstrators here to let Mr Trump know "just what many people think of him".
But the Daily Telegraph has some sympathy for Mr Trump's belief that America contributes too much - and its European allies too little - to the costs of paying for Nato. "Mr Trump is right," it says, and "Europe should give more."
The Guardian challenges the President's outlook, and the way he has gone about pushing for change.
It accuses him of resorting to power, not argument - and warns that he won't strike a good and lasting deal without showing respect for the rules that everyone plays by.
Anyone wanting to see the "best of British", says the Daily Express, had only to watch the RAF celebrate its 100th birthday.
The flypast over Buckingham Palace has provided some stunning photographs - like the one on the front page of the Telegraph.
Red, white and blue vapour trails spread out across a panorama of London, watched by a huge crowd packed into the Mall. "They saved us," comments the Daily Mail - "a sight to stir British hearts."
"Parts of the crowd became so gripped by patriotic fervour," says the Telegraph, "they broke out into an impromptu rendition of the football chant 'It's coming home'."
The Mail expects 30 million people in the UK to watch England play Croatia in the World Cup semi-final.
The police, says the Independent, have told fans not to overstep the line in their excitement.
If only the approach by the reshuffled cabinet showed as much courage, discipline, verve, flair and skill as England's footballers, James Dellingpole exclaims in the Express.
The Times thinks "bitter splits" now divide Tory supporters of Brexit.
And the Mail predicts a relentless guerilla war - with more disenchanted officials threatening a resignation every day until Parliament rises for its summer break in a fortnight.