The two collided after a tough challenge from Gary Cahill on Arsenal's Alexis Sanchez during the first half of Sunday's match at Stamford Bridge.
The needle between the two dugouts continued thereafter, with journalists reporting some NSFW language exchanges:
Wenger now rowing with Rui Faria. Steve Bould then tells Mourinho's assistant to 'shut your f****** gob'.— Neil Ashton (@neilashton_) October 5, 2014
Mourinho-Wenger is turning into one of those "embarrassing parents" spats that the FA are trying so hard to erardicate from kids' football.— Oliver Kay (@OliverKayTimes) October 5, 2014