Big things are expected of rising star Scuffet, who has won plenty of admirers since Francesco Guidolin handed him a first-team debut against Bologna in February.
The 17-year-old kept a clean sheet in that match and has made a further 10 appearances in his breakthrough season.
Scuffet's impressive performances have led to talk of a move away from Udine and Giaretta confirmed that there has been contact with Milan.
"There has been a brief meeting, but nothing concrete," Giaretta told TuttoMercatoWeb.
"And as for the future, I can say that he will not be on the market for next season."
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