But the Red Devils had chances to shock Spain in the quarter-finals.
Belgium, with De Cuyper again at left-back, went down 2-1 as Mikel Merino scored a late goal.
Fabian Ruiz had given Spain the lead after 30 minutes but Belgium rallied before the interval and breached their opponents’ normally rock-solid defence through the in-form Charles De Ketelaere.
Belgium had moments when they might have gone ahead in the second half.
De Cuyper flashed a shot into the side-netting after an incisive move down the left and they appealed for a penalty after the ball struck Rodri’s arm following a ricochet off team-mate Aymeric Laporte.
The Albion man went off going into the final half-hour as part of a tactical triple change which also saw Leandro Trossard leave the field.
Belgium later withdrew goalkeeper Thibault Courtois due to injury and the tie was settled on 88 minutes by Merino when sub Senne Lammens failed to hold Pau Cubarsi's shot.
Albion posted on social media: “The end of a special World Cup run but you should be proud of the journey, Maxim and @belgianredevils”
De Cuyper started the tournament on the bench but came into the side from the second game and has been an impressive contributor.
He was the last remaining Albion player registered to play in the tournament, although Jason Steele is training with England.