The Reds were beaten 1-0 at Anfield by Simone Inzaghi’s men but progressed 2-1 on aggregate into the final eight of the tournament.
Lautaro Martinez’s second-half stunner earned the victory on the night for the reigning Serie A champions though Liverpool earned passage as Alexis Sanchez was handed a second yellow card just moments after the goal.
The Reds sealed a spot in the final eight of the competition as they managed the closing exchanges on a blustery night in L4.