Uefa has begun disciplinary proceedings against Russia's Football Union after "totally unacceptable" scenes at Saturday's England-Russia game.
Footage appeared to show Russia fans rush at England supporters after the 1-1 Euro 2016 draw in Marseille.
Charges against Russia are for crowd disturbances, racist behaviour, and setting off fireworks, Uefa confirmed.
There were issues with segregation of fans, the body admitted, promising security would be "strengthened".
The European football governing body said it had not taken any action against the English FA.
Witnesses said trouble began in the stadium after flares were let off by Russian fans near the end of the game.
Some then climbed across barriers designed to keep rival fans apart, and a number of Russia supporters appeared to kick and punch fleeing England fans.
Earlier on Sunday, Russia's Sports Minister Vitaly Mutko said he was expecting Uefa to announce it would fine Russia.
"We behaved incorrectly," R-Sport news agency reported him as saying.
But he added there were "many nuances" to what happened, and Russian officials would investigate.
Sanctions will be decided at a disciplinary meeting on Tuesday, once the Russians had been able to submit written statements and evidence, Uefa said.
In statement, the body expressed "utter disgust for the violent clashes that occurred in the city centre of Marseille, and its serious concern for the incidents at the end of the match inside Stade Velodrome".
"This kind of behaviour is totally unacceptable and has no place in football," it said.
"Corrective measures" to strengthen the deployment of security personnel would be implemented, it added.
Speaking earlier, shadow home secretary Andy Burnham said the security issues needed to be addressed immediately.
England fans were subjected to "pretty extreme violence" which appeared to be orchestrated, he said.
"Those things need to be addressed immediately, because there is a lot more football to be played and we cannot have people inside stadiums fearing for their safety."
He also called for the UK government to respond to the incident with a statement in Parliament to clarify the facts.