Chelsea manager Antonio Conte and West Ham United manager Slaven Bilic
After a goalless first half, Eden Hazard opened the scoring from the penalty spot.
Hazard went 29 Premier League games without a goal last season but wasted no time in opening his tally in this campaign.
West Hame equalised in the 77th minute through James Collins. The Welsh defender found the ball at his feet from a corner and sent a left-footed half-volley past Thibaut Courtois.
Hazard celebrates scoring Chelsea's first goal
But Chelsea were not to be denied a victory at their home ground, and with 89 minutes on the clock Diego Costa ran on to Michy Batshuayi's headed flick and buried the ball into the net for a late but deserved winner.
Costa was lucky to be on the field at this point. Just after the hour mark, the striker caught Hammers goalkeeper Adrian on the shin with a studs-up challenge, but referee Anthony Taylor somehow failed to award a second yellow for the tackle.
Taylor, like a forgetful casino-dealer, seemed to have forgotten his cards throughout Monday night's match. N'Golo Kante, on his competitive debut for Chelsea, carved up French teammate Dimitri Payet from behind but somehow didn't receive a second yellow.
Costa was lucky to stay on the field after his tackle on Adrian
Chelsea fans were quick to react to the win on Twitter. Hot topics of discussion included the performances of Costa, Kante and Hazard, the contentious refereeing decisions (though Chelsea fans tended not to bring them up), the need for a new defender and the enthusiasm of Conte on the touchline.
@ChelseaFC Conte should be the man of the match for that celebration— Batman (@Dukhi_Engineer) August 15, 2016
@ChelseaFC Love the passion and enthusiasm from Conte. Hopefully the players feed into that and have good results this season.— Terry Cech (@terrycech) August 15, 2016
@ChelseaFC I love how he says that improvements can be made, despite the win.. I'm seeing such positive things from Conte.— Rosie (@RosieCFC) August 15, 2016
@ChelseaFC I love his game play and hope to see more from him and the team as a whole. Good game guys, love you all.— McFemzy (@ojofemi71) August 15, 2016
@nglkante Amazing player. Best signing of the transfer window.— The Blue (@CalcioChelsea) August 15, 2016
I thought Hazard was unplayable tonight. Every time he got the ball he beat players and made things happen. Class display #cfc— Guy Routledge (@GuyRoutledge1) August 15, 2016
Conte's men are next in action on Saturday afternoon when they travel to Watford.