Kevin De Bruyne bagged the only goal of the game in the second half with a fine left footed strike past worldwide team mate Thibaut Courtois.
The Blues lost 1-0 to title rivals Manchester City.
However, even though last season's champions looked second best Antonio Conte felt he could only be proud of his players becaue they put everything into the game.
45' - COURTOIS SAVE - Fernandinho heads at goal from point blank range from De Bruyne's corner, and Courtois palms it away brilliantly to keep City in the game just before half time.
Chelsea manager Antonio Conte on the touchline during the Premier League match at Stamford Bridge, London.
The visitors' pressure began to grow shortly afterwards, though, with Silva and Jesus both coming close in quick succession before the breakthrough finally arrived in some style.
"I think last season we did a really great job, because we won the league against a really strong team, because Man City last season also was a fantastic team".
"It's normal when you play three massive games in only seven days, you must consider this aspect".
How hard and motivated can the players be after winning the title last season?
He says "if I have to run 100km for the team, I will do that".
The most concerning aspect of Chelsea's performance on Saturday in the 1-0 loss to Manchester City was the team's inability to pose any tangible threat to the opposition, despite Guardiola's men offering a clear and obvious way to attack them. We have to do the best in every game. When I see my players have given everything we must be pleased despite the bad result.