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.
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Chelsea
Parma
Armando Broja
SirJoe92
10
Enough time have been given to Broja to find his form, this days it's either you find form quickly or you're out. No time. Look at Joao Pedro in just 3 games for. Chelsea, he is already proving to be the main striker for next season. Liam delap is also hungry to become the main striker, that is what the club needs, not waiting for a player for a whole season to find form.
Turtu
9
Only one player in football history has won these 2 trophies. Guess who!