The Blues were held to a 1-1 draw by Bohemians, courtesy of an 89th-minute equaliser from trialist Eric Molloy.
This time, Lampard is replacing Maurizio Sarri as the club's head coach.
The winger is still remembered fondly in England, after being a shining light over several years for Chelsea, and many fans still believe that the Stamford Bridge club will remain part of his soul.
Said Lampard: "Fitness was our issue, we've been working hard on it, even this morning". You can see that this season all of the fans are very happy and we have the gaffer back at the Bridge.
Since Roman Abramovich took over the London club they have become characterised for the rate at which they burn through managers.
Lampard, arriving from his stint at Derby County where he led the Rams to a promotional playoff spot, knows that he will have to play the hand he has been dealt at Stamford Bridge as Chelsea are now limited by a new player registration ban. "We could never imagine a Chelsea side winning a trophy without those quality players, and always knew replicating the success of the great players would be hard".
"But, over his first week in training, I've seen the way he wants to play, the way he wants us to feel the shirt, the way he wants us to train every day, it is something special".
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Now under new leadership, Kovacic admits he has never experienced such a hard pre-season as Lampard prepares his squad for the UEFA Super Cup against Liverpool and his Premier League bow at Old Trafford.
"At that moment no one could imagine a Chelsea side winning a trophy without players of their quality and we have to try to keep the level and replicate the success all the players in the past have had. We have the best academy in England and, obviously, it is a chance for all of them to step up".
Unfortunately Pedro never had the chance to play with Lampard on the pitch.
As a result, Lampard will be dependant on Chelsea's youth players far more than any former Blues manager has been since the turn of the century.
"I have a way of working that can be taxing on the players and we wanted to get straight into it".
Following Wednesday's draw, Lampard said his side still had lots to work on, but he was pleased with the overall performance at such an early stage of his reign.