Dramatic Twitter footage posted by a Russian fan shows the escalator running at incredible speed, causing people to pile up and crash into each other at the bottom.
Part of one fan's foot is believed to have been cut off in the incident, with 20 injured in total, La Repubblica reports.
Most of the injured are Russian, but a small number are Italian, according to the newspaper.
The station has been closed and emergency services are on scene, where injured fans are being stretchered to safety.
Dozens of beer bottles are also pictured in and around the station after fans dropped them in the chaos.
More than 100 firefighters were scrambled to the metro station, where the last few steps of the escalator have completely collapsed.