Jose Antonio Reyes was on target as holders Sevilla were made to work to retain their position at the head of Europa League Group G.
The Spaniards looked to be cruising when Kevin Gameiro fired them into an 18th-minute lead, but Paul-Jose M'Poku's free-kick levelled it before Reyes struck three minutes before the break. Substitute Carlos Bacca's late strike sealed a 3-1 victory.
Sevilla midfielder Gerard Deulofeu passed up a chance to give the home side a fifth-minute lead when he fired over from close range, and team-mate Gameiro also failed to hit the target from the edge of the penalty area three minutes later.
The Primera Division side continued to pass up promising opportunities but the breakthrough arrived with 18 minutes gone when, after Yohann Thuram-Ulien had tipped Deulofeu's shot out for a corner, Reyes delivered the resulting set-piece and Gameiro struck to make it 1-0.
Denis Suarez saw a left-foot effort blocked by the keeper but the Belgians responded with 27 minutes gone when Dino Arslanagic volleyed wide at the other end.
And they were level four minutes later when, after Jeff Louis had been fouled by Stephane Mbia, midfielder M'Poku dispatched the free-kick past keeper Antonio Beto.
Deulofeu very nearly followed suit when he rattled the crossbar at the other end with a 35th-minute free-kick, but Reyes did restore the home side's advantage three minutes before the break with a right-foot strike.
Nine minutes into the second half, Deulofeu was denied by the bar for a second time and after Geoffrey Mujangi Bia had twice taken aim at the Sevilla goal, Bacca curled a shot against the post at the other end.
But the Colombian cemented the win when he turned home Suarez's 90th-minute corner to finally end Standard's hopes, although substitute Tortol Lumanza-Lembi forced a fine save in injury time as his side fought all the way to the final whistle.