Fikayo Tomori had given Milan hope they might make the last 16 along with his faucet-in just earlier than the half hour mark on the San Siro but a brief respond from Mohamed Salah and Divock Origi's nodded end 10 mins after the smash ensured Jurgen Klopp's facet completed Group B on 18 factors.
Serie A leaders Milan, who had been missing half their starting returned four and three different first group gamers together with forwards Rafael Leao and Ante Rebic, failed in ther attempt to make the last 16 for the primary time for the reason that 2013.
Stefano Pioli's aspect have looked an done aspect domestically this season however had been punished for picking up simply one point from their first 4 organization fits.
Klopp made a raft of adjustments from the Reds' aspect which squeezed beyond Wolves at the weekend however there has been nevertheless a apparent gulf in elegance between the 2 groups.
Milan struggled to place a 2nd-string Reds outfit beneath tons strain inside the tame establishing ranges.
The closest both side got here to scoring changed into a Tomori header in the 8th minute that Alisson Becker had no problem saving, even as Neco Williams' shot two mins in advance dribbled into Mike Maignan's arms.
Out of nowhere the San Siro exploded into life way to Tomori's 29th-minute opener, which fell to him on a plate after Alisson should only pat the ball out to the England worldwide.
However their pleasure only lasted six mins as Salah netted his 20th purpose of the season, pouncing after Alex Oxlade-Chamberlain did brilliantly to wriggle free and fireplace a stinging shot at Maignan.
And Milan's hopes of making it via all but vanished 10 mins after the break as Origi looped domestic Liverpool's 2d on every other rebound, this time from Sadio Mane's shot after Tomori proficient the Senegal ahead possession on the threshold of his own field.
