Sepe was immediately kept busy with a save on Abdulkadir, but Gervinho opened the scoring when he redirected a deflected corner from close range.
Joao Pereira got the equaliser by dribbling past Antonino Barillà and floating an extraordinary shot into the far top corner.
Barillà was caught out again on Abdelkadir and gave away a penalty, but Sepe managed to save ex-Milan midfielder Jose Sosa’s spot-kick.
Yusuf Sari drew Trabzonspor level again on 65 minutes, but Parma kept pushing with Yann Karamoh and Fabio Ceravolo chances. Now Turkish look ready to play Europa League.