The 25-year-old Italy worldwide left Rome's Ciampino airport on a private flight for London to undergo a medical early on Thursday.
According to the Daily Mail, the 25-year-old is on his way to London to undergo a medical.
The wing back signed a four-year deal.
Zappacosta, who's been capped by Italy, has put pen to paper on a four-year deal.
Major League Baseball trade rumors: Cardinals sending Mike Leake to Mariners
Leake has made 30 or more starts in a season six times and has averaged nearly 200 innings pitched per season in his career. Mariners also pick up some cash toward Leake's contract, global slot money while giving up minor leaguer Rayder Ascanio .
Manager Antonio Conte was determined to add depth to his squad ahead of a long season that will see Chelsea fight for the English Premier League and Champions League.
Still, with failed pursuits for the likes of Alex Sandro, Antonio Candreva and Alex Oxlade-Chamberlain, Conte turned to raid Serie A once again with a move for Zappacosta. I am very excited to be here and start working with the team.
Zappacosta is likely to be one of two Deadline Day signings Chelsea complete, with Danny Drinkwater also likely to be announced as a Chelsea player later this evening despite the deadline having now passed.
"I hope I can show my quality to the coach, my team-mates and the supporters", said Zappacosta.
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