Ozan Tufan opened the scoring in the 21st minute before the former Liverpool forward doubled his team’s advantage with 19 minutes left on the clock.
The Egyptian’s strike took his league tally to eight goals, making him the competition's outright leading scorer this season.
Salah joined Trabzonspor on a free transfer following his departure from the English Premier League despite attracting interest from Besiktas.
His latest contribution helped Trabzonspor climb to fourth with 16 points, overtaking fifth-placed Besiktas, who remain on 15.
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