Pereyra was unlucky not to break the deadlock in the 24th minute when he beat three defenders but saw his shot come back off the post.
That came back to haunt Udinese on the half-hour mark when Catania were awarded a penalty. Maurizio Domizzi pulled Nicola Legrottaglie's shirt inside the area and Maxi Lopez made no mistake from the spot.
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Udinese stepped up their game in the second half but were denied again by the frame of the home team's goal on 67 minutes, this time Giampiero Pinzi watching his shot from 25 yards hit the post.
Catania held on for the remainder of the match to bag maximum points from the encounter.