Branding the military procession "magnificent", Mr Trump was frequently on his feet and applauding as he watched 63 planes, 29 helicopters, 241 horses and 3,720 soldiers march down the Champs-Elysees in Paris.
At a North Atlantic Treaty Organisation summit in Belgium in May, the two world leaders met for the first time and engaged in multiple lengthy and awkward handshakes.
It's just one in a catalog of toe-curling exchanges.
"Trump is exposed and he's not", said Wood, a professional speaker and author of SNAP: Making The Most Of First Impressions, Body Language, and Charisma. And, no matter what your politics are, many feel Donald Trump doesn't engage with the world with the same kind of zeal.
Wood believes Trump had the lower hand right from the start and tried to grip on to maintain he still had power.
Trump arrived in the French capital after an overnight flight from Washington and hours before his meeting with Macron to tackle potential solutions to the crisis in Syria and broader counterterrorism strategies.
Trump has a history of commenting on women's appearances, both positively and negatively.
"You can't analyze this handshake without talking about what happens with [Trogneux]", Wood said.
As Friday's visit ended, the men embraced and then the arm wrestling seemed to begin anew.
At Macron and Trump's first encounter in May, the two shared a white-knuckle handshake that the French president said was meant to show he was no pushover. "It's very primitive to me".
'Macron would not let go.
Macron later called that handshake a "moment of truth" to show he's not a pushover.
"#Trump telling France's First Lady "you're in such good shape" epitomises men toeing the line between compliment & sexual harassment", wrote Twitter user Alex Berg, a freelance video producer and writer who works on feminist and gender issues. "Trump goes on top of his shoulder, and he goes underneath".
Trump took the handshake up a notch with a solid hand pat before employing the jerk-and-pull move Trump's become known for.