The French government has urged cities hosting Euro 2016 matches to ban alcohol near venues and fan zones.
It follows three days of clashes between fans and police in Marseille.
Uefa is investigating after Russia supporters appeared to rush at England fans in the stadium after their draw on Saturday. It has threatened to ban both teams if there is further fan violence.
The UK government has offered to send extra British police ahead of England's next match in Lens on Thursday.