The Serie A outfit are seeking a new striker signing after selling Ange-Yoan Bonny to Inter Milan.
Tuttosport says Broja is on the radar, with the Albania international up for sale at Chelsea this summer.
Broja spent last season on-loan with Everton and has been urged to find himself a new club by Chelsea management.
Parma are also eyeing Borussia Dortmund midfielder Giovanni Reyna.