The stampede took place outside the home of Syedna Muhammad Burhanuddin in a wealthy part of the city.
A large crowd of mourners was pressed against the gates of the house at the time, television channel CNN-IBN said, citing police. At least 50 people were injured.
The leader died on Friday and his body had been placed in his Malabar Hill home for people to pay their respects.
Several of the injured were released after treatment at nearby hospitals, said a city official who declined to be named as he was not authorized to speak to the media.
Stampedes frequently happen at religious sites in India but they are not common in big cities such as Mumbai where there is a greater police presence to monitor the flow of people.
Last October, about 115 people were killed in a stampede at a Hindu temple in the central state of Madhya Pradesh.
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@mantle: What does it has to do with India? Those people died because they decided to participate in this funeral process. India had nothing to do with it. I don't know why we pakistani hate India for invalid reasons.
Yet again proved that india is not safe for Muslims.
@Sheikh Phewww...you still managed to find fault with others. No doubt our sectarian troubles are local.
And they claim 100% literacy!
Horrible Horrible. I am lost at words.