Fabregas wasn't punished further because he was booked during the melee. I could be wrong, but so was Chalobah.
I remember Chelsea fans being very upset when Aguero didn't get any punishment for the two-footed stamp on Luiz 3 years ago and it was said then that although Aguero wasn't booked for the incident, the ref put in his report that he had seen it, which effectively tied the FA's hands, hence no further punishment. Although a less serious crime, the same applies to Fabregas and Chalobah here.
I think Fabregas could and should have gotten a red for his part in this, but other than that, I think the ref handled the fracas at the end pretty much spot on.
I remember Chelsea fans being very upset when Aguero didn't get any punishment for the two-footed stamp on Luiz 3 years ago and it was said then that although Aguero wasn't booked for the incident, the ref put in his report that he had seen it, which effectively tied the FA's hands, hence no further punishment. Although a less serious crime, the same applies to Fabregas and Chalobah here.
I think Fabregas could and should have gotten a red for his part in this, but other than that, I think the ref handled the fracas at the end pretty much spot on.