The Belgian striker's time at Chelsea is coming to an end having had few opportunities last season, and the Blues need reinforcements in attack regardless of Diego Costa's potential departure.
The reigning English champions will look to sign a top striker of the likes of Morata or Lukaku, but they have also initiated talks to sign a less-regular centre-forward to fill the void Michy Batshuayi will leave behind.
Swansea striker Fernando Llorente is a primary target for Conte, as the Italian already managed the former Spain international in their time at Juventus.
Reports suggest that, despite negotiations being opened, the process will accelerate once Batshuayi leaves Stamford Bridge.