The Egypt winger played the full game and had a good chance to score on the half-hour mark.
He will be hoping to reach the elite competition's group stage for the first time when Trabzonsport host Copenhagen in the second leg next week.
Trezeguet, who spent the second half of season on loan at Turkish side Basaksehir, joined Trabzonsport from English Premier League club Aston Villa in the close season.
He has made four appearances in all competitions so far -- two in the Turkish league, one in the domestic Super Cup and one in the Champions League.
Trezeguet is yet to open his account with his new club.
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