Uefa decided on Wednesday to open disciplinary proceedings into security breaches at the Euro 2020 final at Wembley.
Fans made several clashes as they fought with stewards and police as they attempted to break through gates for Sunday's showcase event.
Football Association chief executive Mark Bullingham apologised to legitimate fans and said the security team had "never seen anything like it".
England lost to Italy in the final following a penalty shootout after the match had ended 1-1 after extra time.
The FA has been hit with four charges surrounding the behaviour of fans.
"They relate to disturbances caused during the national anthems, invasion of the pitch, the throwing of objects and the lighting of a firework by fans," BBC reported.
The Uefa statement adds: "Separately, a Uefa ethics and disciplinary inspector has been appointed to conduct a disciplinary investigation into events involving supporters which occurred inside and around the stadium.
"Information on this matter will be made available in due course."
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