The coach worked with the Leeds number one at Cagliari, and was impressed enough with the 24-year-old to suggest he could eventually replace legendary stopper Gianluigi Buffon.
"If you understand something here in Italy, Marco Silvestri is the future goalkeeper of the national team," Fulgoni told TMW when asked about the goalkeepers that could eventually replace Buffon for Italy. "Cellino saw him and took him to Leeds, because he was not fazed.
"Mattia Perin is also a good goalkeeper, as are Nicola Leali and Marco Sportiello. But Silvestri is physically imposing. Neuer is technically not a phenomenon but when necessary he leaves you in awe and that's what makes the difference."
Fulgoni was a member of staff at Parma when they saw the Juventus and Italy legend initially emerge into Serie A football, and as goalkeeping coach, would have seen first hand his development as a young player.
His transfer to Turin remains the world record fee for a goalkeeper when he moved at the age of 22.
Silvestri had a fine first season at Elland Road after signing last summer on a four-year deal, making 44 appearances for the Whites.
Uwe Rosler has signed Ross Turnbull as competition for the Italian this week, and the former Brentford boss will be hoping that Silvestri can be pushed to develop in the manner Fulgoni expects in the coming months, which could well edge Leeds towards the playoff places by the end of the season.