Manchester United are also being linked with a move for Aurier given that the player has already decided that he wants to leave Paris in the summer.
With 39 caps for Ivory Coast, he also won the 2015 Africa Cup of Nations and is clearly very experienced, which is why I'm not surprised to hear Mourinho has tried to sign him this summer.
Blues boss Antonio Conte is eager to sign a new full-back this summer and has added Aurier to his wish-list.
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That didn't stop Manchester United from coming to terms with Aurier, according to Paris United's response to Di Marzio's tweet.
Aurier has outstanding legal issues to overcome first due to an alleged altercation with a police officer a year ago.
Mourinho has made no secret of his desire to further strengthen his squad before the end of the month and Aurier's arrival would provide stiff competition for Antonio Valencia in the right-back spot this season.
If he's successful with his appeal and is granted entry to the United Kingdom, then Aurier is set to become Jose Mourinho's fourth signing of the summer following the arrivals of Romelu Lukaku, Nemanja Matic and Victor Lindelof.