A video on Sky TG24 shows the escalator accelerating suddenly Tuesday evening, and the people riding down on it collapsing one onto another.
Footage on social media shows people piling up at the bottom of an escalator as it rapidly descends.
An escalator at a train station in Italy malfunctioned on Tuesday, reportedly leaving at least 20 people injured.
One witness said they "had just witnessed a scene from the apocalypse" after seeing football fans being sent crashing into one another.
Relief Operations Being Conducted At Amritsar Accident Site: Piyush Goyal
They crowded the rail track on the outskirts of Amritsar , a city in Punjab state. "Heartfelt condolences to bereaved families". Punjab Chief Minister Amarinder Singh said relief and rescue operations were ongoing at the site on a "war footing".
"A group of CSKA fans were going down into the station".
Dozens of beer bottles are also pictured in and around the station after fans dropped them in the chaos.
"A total of 30 people were injured: seven of them are in grave condition; five others are moderate and 18 were only slightly wounded", a Russian embassy in Rome spokesman told Tass. Most of the injured were CSKA fans, the spokesman added.
The AGI news agency said that "a large group of CSKA fans, probably under the influence of alcohol, began to jump together, provoking the collapse" of one part of the escalator.