Kalinic, 21, has been to Fratton Park for talks and could even join his new Pompey team-mates for their two-match trip to Portugal if the deal can be finalised in time.
He is also trying to tie up a one-year loan deal for Egypt striker Amr Zaki, who scored 11 goals while on loan at Wigan from El Zamalek last season.
Having secured right-back Steve Finnan on a free transfer, Hart wants to bring in at least four more players, though Cardiff’s £5million valuation of Ross McCormack could be a hurdle.
Goalkeeper Antti Niemi could be a surprise arrival at Pompey as deputy to David James.
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