According to some people, however, his grin could well be the face of a man who is only too happy in knowing that he's trolling the President of the United States.
In the morning Trump visited the Necker Sick Children's hospital, meeting several patients and encouraging them with comments such as "good luck" and "stay strong". "You're in such good shape", he said to her, apparently assuming such an assessment would be seen as complimentary, rather than inappropriate or even predatory.
The comments have been denounced as sexist, noting that the Macrons' age difference is identical to that of Donald and Melania Trump.
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The US president's brief 24-hour trip to the French capital coincides with celebrations for Bastille Day, France's national day which is marked on Friday, and the 100th anniversary of US involvement in World War I.
The couples dined together at a restaurant in the Eiffel Tower on Thursday night. The pair shared an awkward embrace before Trump grabbed hold of a few of her fingers and started waving her arm around.
Trump is known for his crushing handshakes and he appears to give Brigitte Macron the usual treatment as she tries to release her hand from his grasp.
Looking at Macron, Trump added: "You better do a good job, please".