The former Italy and Juventus manager took over the reins of the west London club in the 2016 summer transfer window.
Conte signed Brazil defender David Luiz, Spanish full-back Marcos Alonso and Leicester City midfielder N’Golo Kante as part of his summer transfer business.
But the Blues manager has been linked with a host of players ahead of the January transfer window in 2017.
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Romelu Lukaku is a player who is familiar to Chelsea supporters.
The London Evening Standard have linked the Blues with the centre-forward after selling the Belgian to Everton in 2014.
Next up is a former Premier League star.