UEFA, the European governing body has warned Russia will be thrown out of Euro 2016 if their fans cause further trouble.
Russia is facing suspended disqualifications and fine related to incidents that happened inside in the stadium. Russians have been fined 150,000 euros (£119,000) following violent scenes at the game against England in Marseille on Saturday.
Russia play Group B rivals Slovakia in the city on Wednesday, while England fans are congregating there before Thursday’s match against Wales in the nearby town of Lens.
Football Association chief executive Martin Glenn has written to members of the England Supporters Travel Club, asking them “to act in a positive and respectful way”.
French authorities are increasing security before the games – 4,000 extra police and security officials will be on duty and the sale of alcohol will be restricted in both Lille and Lens.
The BBC’s James Reevell said although English and Welsh fans were singing boisterously in bars in Lille on Tuesday night, the streets of the city were calm.
Mobile phone footage posted on Twitter on Tuesday showed two sets of fans confronting each other outside a bar, with chairs strewn across the pavement on the Place de la Gare in central Lille.However, other footage posted on social media showed fans playing football in a calm city square.