A small group of Russian and English fans briefly scuffled in the northern city of Lille where thousands of supporters arrived on Tuesday.
Lille is seen as the next potential Euro 2016 trouble spot as Russia play Slovakia there on Wednesday, and England fans also congregate in the northern French city ahead of their match against Wales in nearby Lens on Thursday.
Both teams have been threatened with expulsion from the competition if the violence seen in Marseille last week is repeated.
UEFA fined the Russian Football Federation and gave it a "suspended disqualification" for attacks inside the stadium on Saturday.
A small group of Russians appeared to provoke English fans who were in a bar near the northern city's central train station.
The English responded by throwing chairs, but the situation was calming down when police arrived.
Authorities in Lille and Lens have ordered alcohol bans running from Tuesday to Friday, officials said.
The huge security operation surrounding England's clash with Wales has been bolstered.
Extra British police will be deployed to France and authorities in both England and Russia have appealed for supporters to behave in the wake of disorder in Marseille at the weekend.
French police have arrested 43 Russian fans suspected of being involved after stopping a bus in the Alpes-Maritimes region in the south of the country on Tuesday, according to local media reports.
And UK police are also assisting the investigation into the Marseille melee by scouring CCTV, social media and press images to identify any fans who were involved, the National Police Chiefs' Council (NPCC) said.
English fans suspected of disorder could face court action when they return to the UK in the form of football banning orders, the NPCC spokeswoman warned.
NPCC lead for football policing, Assistant Chief Constable Mark Roberts appealed for witnesses to send police any footage and said: "A number of images of those involved in disorder have been collated and work continues to identify those involved."
It comes after the first fan to appear in a UK court over the trouble in France was handed a five-year football ban, after a police "spotter" in the UK saw video of the man "throwing a chair".
