The Reds started the Champions League clash brilliantly, opening the scoring courtesy of an own goal before Mo Salah was denied from the penalty spot.
It was pure dominance for most of the first half but two Milan goals out of nothing just before the break stunned the Anfield crowd.
Liverpool boss Jurgen Klopp admits his side lost the plot at one stage during their victory
However, Liverpool found their footing again after half-time and ultimately won thanks to a well worked goal from Salah and a fine half volley from Jordan Henderson.
‘Very exciting and very entertaining with 10-15 minutes where we lost a little bit of the plot or whatever and were not compact any more,’ Klopp said following the group stage opener.
‘We got carried away with our own football and complicated matters. They scored two goals and then we played again good football and scored two wonderful goals.’
Klopp was pleased that his team managed to get over their small blip and win the game
‘We started incredibly well. We played a super, super game. An intense game but football wise as well. We played in all the spaces we had to play and didn’t give them anything until… I’m not sure exactly. We got punished for it in the last few minutes of the first-half but it started earlier.
We got carried away by our own football. We didn’t keep it simple anymore, offensively and defensively we were not organised anymore. When we are organised,
‘They played in between and scored two goals. But it did not feel like we cannot come back. It was clear that we had to immediately get back to how we started and then we scored wonderful goals, to be honest. Both were incredible. It is deserved but we had 10 minutes where Milan nearly changed the whole tie.