Speaking about the disagreements, Macron said, "we have expressed them and shared them several times and I think it is important to be able to continue to see how to move forward on this subject".
Mr Trump has previously criticised how France has dealt with recent terror threats, but he told a reporter of his confidence that Mr Macron is "not gonna be easy on people who are breaking the laws and show tremendous violence". Flanked by the Melania Trump and Brigitte Macron, Trump grasped Brigitte's hand with his left hand even as he continued to hold the French president's hand with his right.
At one point Trump is heard telling Brigitte Macron, "You're in such good shape".
This year marks the 100th anniversary of U.S. forces entering World War One, and for this occasion USA and French troops will be marching together in the parade.More news: Scientists expect 'significant' algae bloom on Lake Erie
This year's Bastille Day has an additional poignancy as the first anniversary of one of the deadliest Islamist militant attacks of the past few years.
At a G20 summit last weekend, the two had another energetic tug-of-war, while their talks in Paris on Thursday finished with a 25-second powergrip in which neither man looked like they wanted to let go.
While Trump is known for his domineering handshakes, he may have met his match.
The couples dined together at a gourmet Eiffel Tower restaurant On Thursday night. "This is so handsome", Mr. Trump said as he was met by Mr. Macron at the Hotel des Invalides, near the site of Napoleon's tomb.