Pictures showed two fans coming to blows in England’s 3-0 win with one supporter’s face left bloodied.
Stewards were on hand quickly to break up the fight and police arrived soon after to isolate the fan who appeared to come off worst.
The unsavoury incident marred what was otherwise an excellent occasion as both sets of supporters impeccably observed the minute’s silence on Remembrance Day.
Daniel Sturridge, Adam Lallana and Gary Cahill all scored with headers to boost Gareth Southgate’s chances of banking the manager’s job full time.
The Three Lions are now two points clear at the top of group F from Slovenia in second and a further two ahead of third-placed Slovakia.