Spain's Sergio Ramos celebrates scoring their fifth goal with teammates.
Then Rodrigo headed Carvajal's cross early in the 2nd half to make it 4-nil.
Spain scored three goals in each half as they completely outplayed Croatia, who were playing just their second game since the World Cup final.
Spain were in dreamland two minutes later as Asensio cheekily lofted a shot from 20 yards that ricocheted off the crossbar, before deflecting in off goalkeeper Lovre Kalinic for the third goal.
Croatia drew 1-1 with Portugal on Thursday night in their first game since losing to France in the final in Russian Federation, while Spain will be on home soil under new boss Luis Enrique for the first time following his appointment.
"We've played against teams who got very far in the World Cup".
Pence confident no one on his staff wrote NY Times column
But he declined to say whether he believes all top officials should be made to do the same, saying it was a decision for Trump to make.
What does it mean?
Spain's two wins out of two in the Nations League see them top League A Group 4 with six points.
Spain were in a confident mood after winning their first game under Luis Enrique 2-1 away to England in their Nations League opener on Saturday and once they scored the floodgates opened and Croatia were left chasing shadows.
"Croatia are the World Cup runners-up and all teams will be motivated against us - and we have to be aware of that".
This looked a long way from the Croatia side who reached the World Cup final two months ago, and that was summed up appropriately by the performance of Domagoj Vida.
Although this was a night on which a new generation of global stars were born, Sergio Ramos was not to be left out as the defender lost his marker from a corner to head home his fourth goal of the season on 57 minutes.
Spain's next match takes place in exactly a month, when they visit Cardiff for a friendly match four days before hosting England in the Nations League.