A small group of Russia, England and Wales supporters were involved in a short confrontation outside a bar in Lille on Tuesday.
Thousands of supporters are arriving in the area for the Euro 2016 tournament.
A group of Russian fans appeared to provoke England and Wales supporters who were in a bar near the northern city's central train station.
The England fans responded by throwing chairs, but the situation had calmed by the time French police arrived.
Alcohol consumption has been banned in public areas in both Lens and Lille, which will be enforced until 6am on Friday.
Drinks are allowed in bars and restaurants but will be served in plastic cups - the same as soft drinks in glass bottles or metal cans - to prevent them being used as missiles.
Lille is seen as the next trouble spot involving football supporters after England and Russia fans were involved in violent clashes in Marseille on Sunday.
Russia play Slovakia in the city on Wednesday, while England and Wales fans are congregating in the French city ahead of their match in nearby Lens on Thursday.