The Istanbul minnows took an early lead thanks to an Eren Derdiyok penalty on 17 minutes but Mustafa Yumlu equalised just three minutes later.
The game looked destined to be a high scoring encounter but neither side were able to find the winning goal.
On-loan Chelsea defender Kenneth Omeruo started for Kasımpaşa and put another fine display for the Istanbul based outfit. The Nigerian international was dominant in the air winning all three aerial duals and also made the joint highest number of tackles (3).
The 21-year-old has established himself as a key member of the team since joining from Chelsea on a temporary move over the summer.
KASIMPAŞA 1 – 1 TRABZONSPOR
Stadium: Kasımpaşa Recep Tayyip Erdoğan
Referee: Özgür Yankaya, Bülent Gökçü, Mehmet Cem Hanoğlu
KASIMPAŞA: Ramazan Köse, Veysel Sarı, Omeruo, Titi, Veigneau, Abdullah Durak, Castro, Tunay Torun (min. 79 Hakan Arslan), Scarione (min. 90+1 Aydın Yılmaz), Adem Büyük (min. 69 Del Valle), Eren Derdiyok
TRABZONSPOR: Onur Recep Kıvrak, Cavanda, Mustafa Yumlu, Aykut Demir, Yusuf Erdoğan, Okay Yokuşlu, Aytaç Kara, Mbia, Özer Hurmacı (min. 75 Marin), Erkan Zengin (min. 56 Deniz Yılmaz), Mehmet Ekici
GOALS: min. 17 Eren Derdiyok (Penalty) (Kasımpaşa), min. 20 Mustafa Yumlu (Trabzonspor)
YELLOW CARDS: min. 7 Abdullah Durak, min. 21 Tunay Torun, min. 24 Veigneau, min. 49 Veysel Sarı (Kasımpaşa), min. 16 Mustafa Yumlu, min. 88 Yusuf Erdoğan, min. 90+2 Okay Yokuşlu (Trabzonspor)