The Catalan giants were a goal up after just two minutes when El Haddadi found the back of the net. Juanpi levelled the score for the home side before Leonel Messi scored the winning goal in the 51st minute.
Turan played as part of the midfield three alongside Sergio Busquets and Andres Iniesta.
Barcelona have moved back into pole position in the league following their win today. The Champions League champions are a point ahead of Atletico Madrid and five points ahead of Real Madrid.
Turan joined Barcelona on a five-year deal from Atletico Madrid and has made six appearances for his new side since making his debut a fortnight ago against rivals Espanyol.
Barcelona take on Ath. Bilbao in the Copa del Rey next week and Atletico Madrid in their next league fixture.