Windows were smashed and shops were looted, with similar scenes of unrest occurring in the cities of Lyon and Marseille.
The entire area around the Arc de Triomphe, all the way down the two-kilometre-long Champs Elysees and the Place de la Concorde at its end was a sea of singing and cheering people.
On Twitter, Brazil legend Pele paid tribute to the exploits of Mbappe, France's standout, 19-year-old superstar, saying that if the teenager kept equalling his goal-scoring records, Pele might have to strap his boots back on.
The world champions are expected to receive a rapturous reception on their return to the capital. "It's phenomenal, just phenomenal". Security forces kept a distance.
Thousands fill the streets for the World Cup 2018 final.
Fans partied across France overnight, but celebrations in some cities were marred by violence.
"In the same way that ping-pong diplomacy in 1971 allowed China and the United States to restore ties, we could see this facilitating France-Russia relations", he said, referring to a visit by American ping pong players to China that year. "I am sure everyone liked the way they played, and so did I". "A lot of people are going to be drunk, if not already".
During celebrations on Sunday, two people died as millions took to the streets.
President Emmanuel Macron, who was on hand in Moscow to celebrate with the team immediately after their victory on Sunday, has also announced that the team will be award the Legion of Honor, the country's highest official distinction.
For all the insane antics - and some revellers who got out of control - a sense of patriotism and unity was nearly visceral.
"It's wonderful", said Brioche Pasquier, 57, a supporter inside the Luzhniki Stadium for the match. "We all feel French, we're happy to wear this shirt", Pogba said.
France coach Didier Deschamps was full of praise for his team despite signs of nerves at the start of the game and several missed opportunities during it.
"It is really handsome". Even as a player Deschamps eschewed aesthetics for efficiency, and now he has focussed on building a side which would play well as a team overlooking some immensely talented Frenchmen with top European clubs.
The charges were drawn up by Special Counsel Robert Mueller, the former Federal Bureau of Investigation director who is looking into Russian interference in the November 2016 vote and whether any members of Trump's campaign team colluded with Moscow.