Chelsea are keen to sign defenders before the 11pm transfer window and Zappacosta is now on his radar.
It has emerged the Premier League champions are pushing for the Italian and hope a deal can be secured well before the deadline.
Zappacosta, 25, only joined Torino from Atalanta two years ago and has done enough to catch Conte’s eye.
He may not be the only done deal for Chelsea today, with Danny Drinkwater, Riyad Mahrez and Ross Barkley all on Conte’s radar.
Zappacosta is an Italian full-back who has a good eye for going forward.
And that is what Antonio Conte wants.
He joined Torino in 2015 for around £8m – a big move for the Turin side.
He impressed during his debut season and played 29 games for the club last term, while also representing Italy during World Cup qualifiers.
He is by no means an Italy first XI regular but is highly thought of.
Born in the Lazio area of Rome, Zappacosta got his big break when moving to Atalanta from Avellino in 2011 for just £50,000.
Zappacosta made his Italy debut last year.
Conte is desperate for a new wing-back and has endured a miserable summer trying to sign one.
A move for Juventus’ Alex Sandro came to nothing – even though Chelsea were supposedly prepared to pay £60m for the star.
A deal for Alex Oxlade-Chamberlain was agreed with Arsenal but the England international didn’t want to play for Chelsea.
Oxlade-Chamberlain today completed his £40m switch to Liverpool earlier today with the promises that he will be fielded in central midfield, rather than wing-back.
Conte knows Italian football very well and is aware of Zappacosta.
It makes sense for the Italian to dip into Serie A, especially where Italian clubs cannot hold interested parties to ransom like Premier League or La Liga sides can.