Kalinic left Hellas Verona on Sunday to sign for Hajduk this week.
Perisic, off contract from Inter Milan in June, has been linked with his junior club.
And Kalinic said at the of the season: "Perisic and (Edin) Dzeko called last night, but I'm not telling you anything.
"I told Ivan that everything depended on him, just as it depended on me. There is still time to decide."
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