Dušan Vlahović is one player on that shortlist, and this report states that Fiorentina representatives have already met with the Tottenham hierarchy to discuss a potential move to the Premier League.
The 21-year-old made an impressive start to the season for the Serie A side after scoring 8 goals in 11 appearances across all competitions to date.
Any deal to prise away the highly-rated striker from Italy will not be cheap though, with his valuation listed at £45million according to transfermarkt.
But with his contract due to expire in June 2023, the Florence-based club may be keen to do a deal before having to let the Serbia international leave for free at the end of next season.
Elsewhere, Conte is a big fan of Marcelo Brozović, who is yet to agree a new at Inter Milan with his current contract set to expire in June 2022. Sport Witness reports that the Croatia international may form part of a swap deal with Tanguy Ndombele.
Conte is also keen to explore the possibility of bringing his former charges to the club, which includes: Stefan De Vrij, Alessandro Bastoni and Manuel Lazzari.
Calciomercato.it spoke about the Italian's "very specific requests" and how he wants "big purchases", with Federico Chiesa and Matthijs de Ligt also on his list.
There are likely to be many more names linked with Spurs in the coming weeks, as Conte will want to overhaul his squad and stamp his authority on the team.
The 52-year-old could be officially appointed as soon as Tuesday after Nuno Espirito Santo was sacked on Monday.