Conte will need to buy a defender to his squad if he wants to implement his preferred 3-5-2 system at Stamford Bridge.
However, they are thought to be facing competition for the player from AC Milan although they will be able to offer Argentina international Champions League football to tempt to reject their Serie A rivals.
But Musacchio could stay at his current club and compete in top-level European competition after Villarreal finished fourth in La Liga last season.
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