Eyupspor, under coach Arda Turan, formerly of Atletico Madrid, have just clinched promotion to the Superliga.
And Ozkaya has declared hopes of signing Modric for next season.
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The Real midfielder will come off contract in June and he is yet to discuss new terms.
And Ozkaya says they're watching developments, adding: "It doesn't matter if he is 37, 38 or 40 years old."