Here are the top five statistics from Monday evening's encounter:
1) On his return to the Premier League, former Arsenal midfielder Cesc Fabregas weighed in with an exceptional creative performance. The Spaniard fashioned three key passes, assisting two of his side's goals. He has now registered more league assists (26) in the top 5-leagues since 2012/13 than any other player.
2) Fabregas completed 25 passes in the final third against the Clarets - no player on the pitch managed more. He also recorded more touches of the ball than anyone else involved, receiving possession on 104 occasions.
3) Meanwhile, Eden Hazard was back to his dazzling best. He completed nine take ons - more than any other player this Premier League weekend - causing all kinds of problems for Burnley's inexperienced defence. The young Belgian orchestrated two dangerous Chelsea attacks, while completing 93% of his total attempted passes.
4) Blues debutant Diego Costa kicked-off his Premier League account in clinical fashion. The Brazilian-born Spaniard opened his competitive account for the club with his only shot on goal. He rounded off this positive display with one key pass and three successful take ons.
5) Before the club's defeat this evening, Sean Dyche's side had not conceded three or more goals at Turf Moor for 42 matches. It's fair to say the 2013/14 Championship winners have experienced a tough start to life in the English top flight.
A convincing attacking display from Chelsea, are they early favourites for the Premier League title? Meanwhile, can Sean Dyche guide Burnley to safety?