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Following the early chances, neither side was able to muster too much in front of goal, leaving away striker Higuain to try his luck from range, before seeing his shot fly over.
The home side produced a promising opportunity just before the break, however, leaving Pepe to fire wide despite some adroit creative work from Giampiero Pinzi inside the Napoli box.
Napoli were able to find a vital goal in the 59th minute thanks to Higuain, who made no mistake with his finish after he was picked out by Faouzi Ghoulam.
Dries Mertens might have wrapped the three points up before the closing stages of the game, only to see his shot fly just wide of the target with Higuain also lurking inside the area.
The miss was to establish a nail-biting final few minutes for the away fans, but they were able to hold on in order to claim all three points on the road.