Corriere dello Sport claim that an agreement is close to being finalised between the two parties.
Garcia has forged a reputation as a fine coach during his time in France, winning Ligue 1 with Lille in 2011.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.