The modest club are back in the Italian top-flight after more than two decades.
According to Sky Sport Italia, they are in negotiations with Nwankwo and Obi.
Nwankwo scored 20 goals in 38 league appearances for Crotone last season.
His goals were however not enough to save the club from relegation.
Crotone are looking to sell the forward for €10m
The 29-year-old has also been linked with Udinese, Genoa , Torino and Monza.
Obi is a free agent after his contract with Serie B club Chievo Verona expired, having spent most of his career in Italy with Inter, Parma, Torino and Chievo.
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