However, Dorlan Pabon struck late in the opening half to hand the home side a lifeline ahead of the second 45 minutes.
Betis desperately pushed for the leveller from that moment, but they had to wait until the final minute to secure a share of the spoils as Nosa Igiebor headed home from close range.
Read how it all unfolded in Sports Mole's minute-by-minute live commentary of the action below.
BETIS: Adrian; Chica, Paulao, Amaya, Martinez; Benat, Canas, Carlos, Castro; Pabon, Campbell
SEVILLA: Beto; Coke, Botia, Fazio, Moreno; Rakitic, Kondogbia, Medel; Reyes, Negredo, Navas