The 19 year-old, reports Italian transfer expert Nicolo Schira, is also a target for Newcastle United and Aston Villa.
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Schira states: "AC Milan are monitoring one of the top Brazilian young talents: Milan’s scouts have watched Vasco Da Gama’s forward Rayan (born in 2006) three times in the last months.
"Rayan was the youngest player in Vasco’s history to score a goal in an official match."
Barcelona and Zenit St Petersburg have also been watching Rayan this season.