Having a debate with an Italian guy about who is the bigger club and I think it’s close.
Both have won their domestic league 19 times and Milan have 1 more Champions League.
Milan probably have more well known legends like Van Basten, Kaka, Maldini, Gullit and Pirlo. But in recent years Liverpool have had Gerrard, Suarez, Alonso, VVD and Salah.
The current popularity of the Premier League helps Liverpool but Milan also has a huge fanbase.
Milan for most of the time it was near the top clubs in the world, it was playing in serie a, which was far more competitive, with far more star/quality players across the seven sisters (Milan, juve, inter, Roma, Lazio, Fiorentina, Parma) than anything Liverpool have competed against in the premier league. Only after 2005 did the premier league start to overtake serie a, but that was 17 years already of Milan being right up there.