It marked a return for Llorente, who spent last season on-loan at Alaves.
Llorente remarked afterwards: "It was incredible to get a reception like that on my return to Mendizorroza.
"I wasn't expecting it. I'll forever be grateful to this club, its fans and the city. Alavés have got a new team and they still need to get used to each other.
"They haven't got off to a good start, but as the games progress, they're looking better and they performed well today."