Going into the lunch time kick off at Goodison Park, Asmir Begovic started in goal for Chelsea after Thibaut Courtois' recent knee injury ruled him out.
And for Everton, in came young left back Brendan Galloway and Bosnian midfielder Mohamed Besic.
However, Besic's start wasn't to last long as he picked up what looked like a nasty hamstring injury and was replaced by Steven Naismith, who will have been disappointed not to start.
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And it didn't take long for him to introduce himself to the game. Some nice play on the edge of the area allowed him to feed the ball left to young Galloway, who chipped the ball into the path of the surging Naismith who headed the ball into the top right corner to make it 1-0.
This was the start of an excellent Everton spell, with Arouna Kone seeing a nice header saved emphatically by Begovic and from the resulting corner, James Mccarthy suffered the same fate, seeing his powerful strike also saved by Begovic, who was clearly stepping up in the absence of Courtois.
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It wasn't long after Everton were in the goals again though, when Branislav Ivanovic stood off Naismith and invited the shot, to which Naismith obliged and struck the ball left footed into the bottom right corner past the flailing Begovic. Chelsea found themselves 2-0 down in under 25 minutes, madness.
Everton just had a freedom that Chelsea rarely awarded to opposing teams, but the first spell of pressure paid off with an unbelievable 30-yard strike from Nemanja Matic, which flew into the top corner leaving Tim Howard with no chance. The Serbian doesn't score many, but he won't have minded that today.
Half time came at the right time for Chelsea, who could have been three or four goals behind, and Mourinho would have been laying down the law with his team of under performers.
The first change of the game for Chelsea saw Mourinho again blooding young Brazilian Kenedy, hoping to breathe more pace and life into the Chelsea attack, a big ask for the 19-year-old from Fluminense.
The first clear chance of the half came for Everton again, as Romelu Lukaku found a bit of space at the expense of Cesar Azpilicueta and Begovic was yet again on hand to provide an impressive stop.
With 20 minutes to go, Pedro made way for Falcao, with a shift in shape for Mourinho with two strikers on the pitch, hoping to push on for an equaliser and maybe even a winner.
Martinez bought on Aaron Lennon and Mourinho made his final change, bringing on Willian, who began to dictate the game as Chelsea were able to pin Everton back for a period of maintained pressure, but he could not create a clear cut chance.
Everton managed to find a way out of their own area and looked to have finished the game off with eight minutes to go. Ross Barkley played a lovely ball to Naismith, who slotted under Begovic to complete the 'perfect' hat-trick.
There really were some fantastic Everton performances today, notably Naismith with his three goals. John Stones was fantastic in what was a big game for him, and he showed Chelsea what they missed out on today.
Chelsea fans should really be worrying after another poor performance, with some big games coming up in the Champions League and Arsenal next weekend. And with only four points out of 15, conceding 12 goals in five games, it really is panic stations for the Blues.
An outstanding home win for Everton though, who will be looking to kickstart their season now after the international break. They will aim to push for the top six and European football as they bid to keep hold of their best players.
Speaking after the game, Jose Mourinho maintained that he and his side are not under pressure and accepted full responsibility for the bad start to the season.
He insisted that he is 'the man for the job', and until the title is mathematically impossible to retain, he said 'I am the Champion'.