Culio made his Deportivo de La Coruña debut against Las Palmas in the opening game of the season, where he started the match, set up a goal for Pablo Insua and then got sent–off for a second bookable offence, in a 1–0 win. Since joining the club, he quickly established himself in the starting eleven for the side. It wasn't until on 13 October 2013 when he scored his first Deportivo de La Coruña goal, in a 1–0 win over Barcelona B. His second goal for the side then came on 24 November 2013 when he scored the only goal of the game, with a 1–0 win over SD Ponferradina.