Both incidents took place in Aarey colony, a forest area in Goregaon, a western suburb of Mumbai. The area lies on the periphery of Sanjay Gandhi National Park.
Four-year-old Hiya Mhase, a resident of Khadakpada, went out of her home early on Tuesday morning to answer nature's call.
"The leopard was possibly lurking in the foliage there. I heard her scream and went after the leopard yelling, I tried to snatch her from the leopards jaws. He dropped her but then I was overtaken by fear and I retreated a little," said her father Rajesh. Little Hiya was taken to the Siddharth hospital where she died.
A little distance away, another boy, an 11-year-old was also attacked. He is now recuperating in a hospital.
Authorities say it is possible the same leopard attacked both the children.
Locals have armed themselves with sticks and axes and torches; these search parties have been formed to look for the leopard. They along with forest officials hope to trap the leopard attacking humans, in large metal cages. A forest official told NDTV that they will lay traps for the leopard until it is caught.
In the last few years, there have been a number of attacks by leopards which roam the Sanjay Gandhi National Park. The increasing encroachment by humans in what's essentially the leopards' home has increased the man-animal conflict.
Since January this year, at least five people have been attacked by leopards in Mumbai.