Deportivo de La Coruña's Bruno Gama bagged the game-winner in the 30th minute.
Gama slotted home into the lower left of the net after intercepting Anderson Conceição's pass and finishing the move with a right-footed shot.
Deportivo de La Coruña finished with a clean sheet thanks to the strong play of the team's defence and Daniel Aranzubia, who finished with five saves.
Deportivo de La Coruña now sit in 15th in the table with a record of two wins, four losses and four draws. Mallorca are in 13th place with a record of three wins, five losses and two draws.
Deportivo de La Coruña had 16 tackles, three blocked shots and 40 total clearances in support. Pizzi had five shots for Deportivo de La Coruña, more than any of his team-mates. Rodolfo Bodipo was brought on to replace Nélson Oliveira in the 82nd minute when the latter went down with an injury.
Mallorca had 48.4% of the possession during the loss. They had 19 shots, including five on target. The three attempts by Michael Pereira were the most of any Mallorca player. The combination of Emilio Nsue to Geromel was the most common during the match, as the two players connected 17 times.
Juan Carlos Valerón was the driving force behind Deportivo de La Coruña's play, and completed 55 passes over the course of the match. He spent most of his time distributing the ball in the middle of the pitch and also attempted two shots.
Deportivo de La Coruña finished the first half having controlled the ball for 55.1%, with Mallorca at 44.9%. Los Bermellones trailed at the break despite outshooting Deportivo de La Coruña, 8-6.
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