The Italy international was brought to Stamford Bridge by Conte in January 2018.
Now at Inter, Conte is getting to work with setting up his characteristic 5-3-2 system.
Ivan Perisic is the favourite to fill the LWB role, however, the Croatian has shown a desire to leave the San Siro this summer.
And Conte wants to sign Emerson if Perisic's poor attitude continues, according to Tuttosport.
Emerson's situation remains uncertain since the arrival of new manager Frank Lampard.