Despite the widespread scuffle during the heated draw, both Chelsea and Nottingham Forest have been charged.
The incident occurred late in the game when Forest player Neco Williams pushed Marc Cucurella into Chelsea coach Enzo Maresca.
The result was an altercation on the sideline between several players from both teams.
In a statement, the FA said: “It’s alleged that both clubs failed to ensure their players didn’t behave in an improper and/or provocative way around the 88th minute.
“Chelsea and Nottingham Forest have until Thursday, 10 October, to provide their responses.”