Umtiti, 31, is a free agent after coming off contract at Lille this past summer.
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RMC says the former France international has made a request to Lyon about using their facilities.
Umtiti has been spending time with his formative club in order to prepare for announcing his retirement, it has been claimed.
Umtiti appeared to have revived his career two seasons ago in Italy after a successful spell with Lecce, but he is now expected to soon announce he's hanging up the boots.