Yakabuski is right that ‘Most of Spain’s territory was conquered by 8th-century Muslim invaders’. However it is incorrect to refer to Christians regaining their lost lands as ‘conquerors’. The movement to free Spain from the invaders, to liberate Spain and Portugal, is called Reconquista by all historians, Spanish and Portuguese for ‘reconquest’.  

Neo-Mudéjar style derives from another Spanish style called Mudéjar, a term meaning ‘Muslim who remained in Spain after it had been reconquered by the Christians in the Middle Ages, as well as a style of Spanish architecture of the 12th to the 17th century, combining Moorish and Gothic forms.’ http://www.thefreedictionary.com/Mudejar 

Catalonia was briefly occupied by the Moors. By around 800 AC it was free and became a basis for launching the Reconquista. The result is there is little Moorish and Mudéjar architecture, unlike places like Andalucía and Castile. I have been there several times so I speak from experience.