The 20 year-old has burst onto the scene in the Eredivisie scoring 14 goals in 50 appearances after coming through the club’s youth academy.
According to Tuttosport coach Clarence Seedorf has asked Adriano Galliani to contact Feyenoord for Boetius before his price escalates.
Boetius has an outside chance of making the Dutch squad for the upcoming World Cup and Milan are hoping to beat the competition early.
Ronald Koeman’s side are asking for a fee close to €8 million for the youngster but a positive display in Brazil could cause it to increase.
Boetius is the cousin of current Milan defender Urby Emanuelson which could play a part in negotiations.
Follow Louis Gibberd-Thomas on Twitter: @mercutio156