Thankfully no underlying problem was found and he trained alone today without the rest of the squad.
The French midfielder suffered the frightening health scare last Friday, leaving his team-mates shocked and terrified he had suffered a heart problem.
The France global passed out in front of team-mates in the dressing room at Chelsea's Cobham facility following a session on Friday, Omnisport understands.
The France worldwide was a surprise omission from Antonio Conte's matchday squad at the Etihad Stadium on Sunday despite having travelled to Manchester, with Chelsea attributing his absence to illness.
He was sent to see a specialist for a series of cardiology tests after regaining consciousness.
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The movement's leader Luigi Di Maio has recently suggested he would be open to talking with potential allies, however. The Democratic Party and Forza Italia along with " some minor centrist parties " could form their own coalition.
The reports claim that a Chelsea doctor was on the scene in seconds as Kante slumped to one side in the dressing room.
The Chelsea midfielder was reportedly feeling unwell on Sunday morning and that combined with the news of Astori's death led to Antonio Conte and his staff choosing not to take any risks.
It is believed the 26-year-old may have fainted because of the weather last week after going from a cold outdoor training session into a warm changing-room.
The Telegraph state that Kante is expected to be available for the London derby as well as next week's Champions League last-16 clash against Barcelona.