Paris (CNN) France will ban "yellow vest" rallies in some areas of the country after violence that erupted during Saturday's demonstration in Paris.

At a press conference on Monday, French Prime Minister Edouard Philippe said by "as early as next Saturday" authorities will ban gatherings in areas that have been the most affected by the demonstrations -- as soon as they are aware that extremists "claiming they belong to the 'gilets jaunes'" are present.

Philippe named Paris' Champs Elysées, Pey-Berland Square in Bordeaux and Capitol Square in Toulouse as areas that would be subject to such bans. He said that rioters who weren't part of the yellow vest movement were to blame for the violence.

"I do not mix up criminals and the majority of gilets jaunes," he said.

On Saturday, 60 people, including 17 police officers and a fireman, were slightly injured on the 18th straight Saturday of yellow vest, or "gilet jaunes," demonstrations in Paris.

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