Atletico had the best of the opportunities in the first period, but could not make the breakthrough with the scores level at the interval.
Atletico pushed for the leveller in the latter stages, but they could not open their tally as the capital outfit suffered their first league defeat of the season.
Read how it all unfolded in Sports Mole's minute-by-minute live commentary of the action below.
ESPANYOL: Casilla; Sidnei, Moreno, Fuentes, J Lopez; Simao, Abraham, Lanzarote, D Lopez; Garcia, Pizzi
ATLETICO MADRID: Courtois; Juanfran, Godin, Alderweireld, Luis; Gabi, Suarez, Garcia, Koke; Villa, Costa