Among the disturbances was a large crowd that gathered outside of the Nike store on the Champs Elysee, where fans were eager to get their hands on the new France shirt, complete with two stars to signify two World Cup championships.
The diverse origins of France's players attracted appreciation during the month-long World Cup.
The 2 km Champs Elysees, the Arc de Triomphe and the vast Place de la Concorde turned into a heaving sea of people on Sunday night, waving red, white and blue flags, setting off firecrackers and blowing horns until early morning. For example, the Victor Hugo station has become Victor Hugo Lloris and the Champs-Elysees Clemenceau stop has been dubbed he Deschamps-Elysees Clemenceau after coach Didier Deschamps.
Hajar Maghnaoui, of Asnieres, north of Paris, said "It's a way to bring the French people together, and also the world".
"Africans and Muslims delivered you a second World Cup, now deliver them justice", American author Khaled Beydoun wrote.
They are expected to parade through Paris and then go to the Elysée Palace to meet President Emmanuel Macron.
The changes represent "winks" to the team, Paris transport operator RATP said Monday.
France captain Hugo Lloris lifts the World Cup trophy after the 4-2 defeat of Croatia
Celebrations were spread across the nation, and among the still-dazed French players themselves.
That was the highest percentage among any qualifying team in this year's World Cup.
French President Emmanuel Macron exulted on the field in Moscow, hugging players as they received their medals even as the heavens opened up and poured down on everyone, and congratulating the players again in the locker room.
Goalscorer Griezmann was seen as the best player of the final by L'Equipe with a rating of 8/10, while three French players in Samuel Umtiti, Paul Pogba and Kylian Mbappe, as well as Croatia's Ivan Rakitic, were next on seven.
It has been 20 years since France won the World Cup. Here, we are all united.
"We're not in 1998", said Mounir Mahjoubi, the secretary of state for digital affairs, whose parents emigrated from Morocco.
"Now we need to feel the moment in full".