The club is interested in concluding a full-fledged contract with Mykolenko, and Zinchenko may join on loan, the report said.
The 22-year-old defender Mykolenko played 15 matches for Dynamo this season and made three assists.
The 24-year-old Zinchenko, who plays as a midfielder and defender, played five games for Manchester City.
Former Ukraine manager Andriy Shevchenko signed a contract with Genoa until 2024.
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