The governing body have confirmed they are examining the incident amid speculation the Belgian could be handed a harsher punishment than a mandatory three-match ban
Hazard was dismissed for appearing to kick a ball boy - 17-year-old Charlie Morgan, son of Swansea director Martin - who had fallen on the ball in the closing stages of the match.
The Belgian will serve a minimum three-match ban as a result of the straight red card for violent conduct, but his actions have attracted widespread condemnation and calls for harsher punishment.
South Wales Police confirmed that no criminal charges will be brought against Hazard, while it has emerged both parties made peace and apologised for their actions in the Chelsea dressing room after the match.
The incident has overshadowed Swansea's historic passage to the final of the Capital One Cup, where they will face League Two side Bradford City as they aim to secure a first major trophy in the club's history.