© Getty Images
Vitolo made it 2-0 in the 10th minute when he whipped a shot from 18 yards into the top corner as Espanyol struggled to cope with Sevilla's attack.
Thievy and Jhon Cordoba were introduced after the break as Espanyol pushed for an equaliser, and the latter set up Victor Sanchez in the 58th minute, but Beto made a sprawling save to deny to Spaniard.
The miss proved costly, as Carlos Bacca restored the visitors' two-goal advantage within seconds. The Colombian forward burst past two defenders and kept his composure to finish coolly.
Espanyol struggled to create any clear-cut chances to get back into the game and their frustration boiled over in the 85th minute when Sanchez was shown a second yellow card for a reckless challenge on Vicente Iborra.