Pedro León scored thanks to a strong individual effort in the 17th minute as he put a left-footed shot into the lower right of the net from centre of the box.
Defender Mané produced an excellent all-round outing for Azulones. He scored one goal and also made three clearances.
Getafe's Mané found the back of the net with a left-footed shot strike that came in the 90th minute.
After 13 games the Periquitos are currently in the relegation zone, two points behind 16th-place Celta de Vigo with a record of two wins, eight losses and three draws.
Getafe are in seven place, and in striking distance of Levante in sixth with a record of six wins, six losses and one draws leaving them one behind after 13 games.
En route to the win, Geta had the ball for 39.4% of the match.
Getafe had 10 shots, including seven on target.
Diego Castro made his mark on the match for Getafe after coming on for Álvaro in the 77th minute, as he assisted on Mané's goal.
Miguel Ángel Moyá made four saves for Azulones.The four attempts by Pedro León were the most of any Getafe player.
Moyá's 14 passes to Juan Valera were the most of any Getafe teammates during the match.
Espanyol managed to dominate the possession game, and maintained control of the ball for 60.6% of the match.
The 11 shots that Los Blanquiazules managed were not enough to secure the win.
They also completed 405 passes and had 28 crosses in the loss.Wakaso had four shots for Espanyol, more than any of his team-mates.
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