Emmanuel Macron in infamous virile handshake with Donald Trump - AFP

President Emmanuel Macron of France will treat his American counterpart Donald Trump to a lobster dinner with an unparalleled view over the Eiffel Tower when he visits Paris this week, according to reports.

Despite their notable clashes over climate, Mr Macron is pulling out the stops for Mr Trump, who will be guest of honour at the annual Bastille Day parade down the Champs-Elysées on Friday to celebrate America's entry into the First World War alongside French troops.

US troops, with soldiers wearing WWI helmets, walk on the Champs Elysees during a rehearsal of the traditional Bastille Day military parade in Paris Credit: PASCAL ROSSIGNOL/Reuters

According to Paris Match, the French president will treat Mr Trump to a gastronomic dinner in the famed Jules Verne restaurant run by multi-Michelin starred super chef Alain Ducasse, which offers one of the finest views of the capital - from the second floor of the Eiffel Tower.

The restaurant, which will be closed to the public, boasts one Michelin star with the reputed food guide describing the venue as offering "cuisine of great finesse" at the "summit of French heritage".

According to Paris Match, the two presidents, their spouses and respective delegations will dine on blue lobster and caviar among other delicacies.

A six course taster-menu at the Jules Verne without wine costs €230 per person.

Mr Macron's decision to invite Mr Trump to Paris for the parade drew criticism from some politicians coming weeks after the US president announced he was pulling America out of the COP 21 climate accord signed in the French capital in 2015.

The move led Mr Macron to issue a defiant speech in English in which he called upon American climate scientists to live in France to help "make our planet great again" - an ironic reference to Mr Trump's campaign slogan to "make America great again".

The pair's relationship got off to a muscular start with Mr Macron's now infamous white-knuckle handshake in which he wouldn't let free his American counterpart's hand.

French government spokesman Christophe Castaner defended the decision to invite Mr Trump - the first US president to attend the Bastille Day parade since 1989, when George Bush did so alongside Margaret Thatcher and then German chancellor Helmut Kohl. In that case, they had gathered to celebrate the 200th anniversary of the French Revolution.

"There's also a strong political dimension. Emmanuel Macron wants to try to prevent the president of the United States being isolated. He (Trump) sometimes takes decisions that we disagree with, on climate change for example," Mr Castaner added.

"But we can do things: either you say 'we're not speaking because you haven't been nice' or we can reach out to him to keep him in the circle," he explained.