Guys that I think would fit Conte's system very nice (most of them young and are are attainable in the transfer market):
Kostic (LWB/LW) One of the favourites – perfect for Conte IMO
Gosens (LWB)
Theo Hernandez (LCB/LWB) One of the favourites – perfect for Conte IMO
De Ligt (CB)
Wirtz (ACM/RW) One of the favourites – perfect for Conte IMO
Maehle (RWB/LWB)
Lamptey (RWB)
Schick (CF)
Vlahovic (CF)
Guimaraes (DM/CM)
Paqueta (ACM)
Sergej Milinkovic-Savic (CM) One of the favourites – perfect for Conte IMO
De Vrij (LCB)
Oyarzabal (RW)
Pau Torres (CB)
Zielinski (CM)
Skriniar (CB)
Tielemans (CM)
Kessie (CM)
Kounde (RCB) One of the favourites – perfect for Conte IMO
Lingard (RW)
Raphinha (RW)
Nunez (CF)
Neuhaus (CM)
Soler (ACM)
Bellingham (ACM)
Pellegrini (CM)
Gouiri (LW)
Belotti (CF)
Goncalves (ACM) One of the favourites – perfect for Conte IMO
Baumgartner (ACM)
Atal (RWB)
Baku (RWB)
Cash (RWB)
Mazraoui (RWB)
Szoboszlai (ACM)
Gallagher (ACM)
Lacroix (CB)
EDIT: Looks like I made a huge list. Give me Paratici's number.
Also worth pointing out that there is a little choice for a right wing-back which we so desperately need, maybe even 2. So Adama transfer wouldn't be the dumbest thing to do.
Looks like ACM and wing-back positions are dominating, but probably no surprise. IMO any of signings with players above would be very, very exciting.
P.S I didn't include names like Dybala, Bowen, Ward-Prowse and Dembele. I think that these kind of players are not worth it and wouldn't work.