Serie A club Roma want to sign Riyad Mahrez from Leicester and have contacted the player's agent, according to Sky in Italy.
The Algeria international joined the Foxes from Le Havre in January 2014 and helped them secure promotion to the Premier League that season.
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He was then instrumental in their unlikely title triumph in 2016, scoring 17 goals, before handing in a transfer request at the end of May this year.
Craig Shakespeare told Sky Sports News HQ last week the club had not received any bids for Mahrez, but admitted any offers would have to be discussed by the board.
"We'd have to consider it," he said. "But we don't know the value and we don't know the bid so until a bid comes in again it's not worth thinking about.
"I think we have to look what is behind that as well, in terms of advice.
"We have to understand Riyad's concerns but while he is contracted to the football club, and while we've had no bids for him, which we haven't, he has to be professional and we have to be professional.
"He has to be fully committed here and I expect him to do that."