Macron and the prince, who is seen as the main power broker in the Saudi monarchy, toured an exhibition of works by 19th century painter Eugene Delacroix before their dinner, the source added.
Macron waded into a regional crisis last November when Lebanon's Prime Minister tendered his resignation on live television from Riyadh, apparently under pressure from Prince Mohammed.
But diplomacy on several fronts has also been high on the agenda, with Hariri flying in for a meeting with Prince Mohammed on Monday just days after the Lebanese premier attended a donors´conference in Paris aimed at bolstering his country´s crisis-hit economy.
On Yemen, where Saudi Arabia has led an worldwide military coalition since 2015 and waged a blockade that has sparked widespread condemnation, Macron stressed the need for "respect for global humanitarian law".
The painting features a bare-breasted woman holding the French tricolour, an image that would be banned in Saudi Arabia for its nudity and its subversive political message.
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The kingdom also revealed on Monday that it would enter short films at the Cannes film festival next month for the first time, a further sign of Prince Mohammed's mission to modernise his country.
Speaking Tuesday to reporters in Paris, Al-Jubeir blamed the Houthis for stealing humanitarian aid, using human shields and reneging on peace agreements, and said "the lawsuit should be filed against them".
The memoranda of understanding cover sectors including petrochemicals, water treatment, tourism, health, agricultural, and cultural activities, the French-Saudi business forum said in a statement. "This includes a number of mega world-scale projects where French businesses can play a major role in providing the strategic mix of technical capabilities and innovation which would create the desired synergy which will be beneficial to the company but also to the Kingdom".
The kingdom is the lead partner in a coalition of countries bombing and blockading Yemen, where a combination of fighting, disease and food shortages has led the United Nations to dub it the world's worst humanitarian crisis.
Three out of four French people believe it is "unacceptable" for France, one of the world's biggest arms exporters, to continue selling weapons to Saudi Arabia, according to a YouGov poll.