A fairly drab first period failed to produce a shot on target, although Sevilla had two goals chalked off for offside.
The away side eventually took the lead just before the hour mark through Coke, with that strike enough to secure all the points.
Read how it all unfolded in Sports Mole's minute-by-minute live commentary of the action below.
RAYO: Ruben; Rat, Ze Castro, Saul, Tito; Trashorras, Baena; Bueno, Falque, Viera; Lass
SEVILLA: Beto; Coke, Fazio, Pareja, Navarro; Carrico, Iborra; Moreno, Rakitic, Jairo; Bacca