The home side had the best of the opportunities in the first period, but could not make the breakthrough with the scores level at the interval.
Adrian Colunga opened the scoring 15 minutes from time, however, before completing his brace in stoppage time.
Read how it all unfolded in Sports Mole's minute-by-minute live commentary of the action below.
ESPANYOL XI: Casilla; Colotto, Moreno, Capdevila, J Lopez; Simao, Sanchez, D Lopez; Garcia, Stuani, Pizzi
GETAFE XI: Moya; Alexis, Rafa, Lago, Arroyo; Borja, Gavilan, Leon, Michel; Castro, Adrian