The Sampdoria centre-back, who is 6ft 3, is attracting interest from around Europe.
The report claims it will take roughly £13 million to sign the player.
"Already in January there were real interests from the Premier League. No offers have been made, but he could adapt himself to English football by characteristics," the player's agent Umberto Riva told TMW in June.
Colley started 30 games in Serie A last season.