The Football Association's chief executive Martin Glenn has urged England supporters to behave after UEFA threatened to kick the team out of Euro 2016 due to the recent violence.
England fans clashed with police, local youths and Russia fans during the build-up to the Three Lions' Group B opener in Marseille over the weekend.
After the match against Russia, which ended in a 1-1 draw, England fans were seen fleeing from the stand after rival supporters chased them down.
Glenn has criticised England fans for their behaviour, and also placed blame on UEFA due to a lack of segregation between supporters during the match.
"We take [the UEFA warning] extremely seriously, and we understand the implications," The Times quotes Glenn as saying. "We are not happy about a lot of things that have gone on. We are making a plea to all England fans to remember they are in a different country and that the best way to support the team is to be patriotic but be respectful.
"The problems outside the ground were initially some unpleasant, embarrassing behaviour by English hooligans, which was stepped up massively by what appeared to be totally co-ordinated action by organised Russian gangs. It was shocking - I had not seen scenes like that inside a stadium for decades.
"We were worried because we knew that England fans had been able to get tickets from the Russian website, but the segregation in the ground clearly wasn't strong enough."
England's next game is against Wales on Thursday.