The Dons full-back has interest from England and around Europe after an impressive breakthrough at first-team level in 2020.
Watford, Leicester City, Newcastle United and Manchester United have all been mentioned as clubs who are monitoring the 18-year-old, as well as Bundesliga side Eintracht Frankfurt.
The Serie A club have previous in Scotland having signed Aaron Hickey from Hearts. The full-back has gone on to hold down a first-team place.
Ramsay has arguably been Aberdeen's most impressive performer this season under Stephen Glass, showing his ability going forward and in the defensive third.
“He is so comfortable on the ball," he told the Daily Record. “He’s been a breath of fresh air, as has Patterson and I’m surprised that he’s left Rangers for only £11m.
“Where does that put Ramsay in terms of transfer value?
“I don’t think he’s quite at Patterson’s level yet. He’s not playing for Rangers, he hasn’t got the European experience and he isn’t a full international yet, the way Patterson is, but I’m sure Aberdeen should be looking for a huge fee for him if they decide to sell him.”