Fans had been trying to climb a fence at the stadium, in Marseille, to join up with another group of supporters when stewards got involved.
Punches were thrown by supporters before riot police intervened.
Elsewhere, Turkey and Croatia have been charged by Uefa for disturbances during their matches on Friday.
Croatia have been sanctioned after supporters were involved in crowd disturbances and racist behaviour, and in throwing objects and the setting off of fireworks, as their team played the Czech Republic in St Etienne.
The Turkish Football Federation has been charged with the setting off of fireworks, throwing of objects and field invasion after some of their fans caused trouble during their 3-0 defeat by Spain in Nice.
Hungary supporters clashed with stewards and riot police inside the Stade Velodrome before their side's Euro 2016 match against Iceland.