City were on the end of a crushing defeat at Anfield on Wednesday, as Liverpool produced a stirring display which had them 3-0 up by the 31st minute of the first leg.
In-form Mohamed Salah got the first, before Alex Oxlade-Chamberlain's long-range thunderbolt and a Sadio Mane goal put the Reds in cruise control.
The result leaves Pep Guardiola's men staring at a likely exit, despite being considered among the favourites to lift the trophy in Kiev.
But Sevilla gave a timely reminder of their exploits against Liverpool in November, as they came from 3-0 down to draw 3-3 at the Ramon Sanchez Pizjuan – Guido Pizarro netting a last-gasp equaliser.
From their official Twitter account, the Liga club posted: "3-0 down to Liverpool? Been there, done that."
City host Liverpool at the Etihad Stadium on Tuesday and they will look to follow Sevilla's lead and claw back a three-goal deficit.