The 19 year-old is a regular with Partizan and set to move to Milan this summer, reports transfer expert Fabrizio Romano.
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Romano states: "AC Milan have agreed deal to sign Andrej Kostić from Partizan Belgrade on permanent deal.
"The 19 year old talented striker was wanted by several clubs but AC Milan agreed a deal today.
"Kostić, now in Milan for medical on Sunday as @LucaManinetti."
reports. Deal sealed.