Eman Ahmed Abd El Aty, who previously weighed around 500 kilos, had not left her house in Egypt in over two decades until arriving in Mumbai last month for bariatric surgery.
"Eman successfully underwent a Laparoscopic Sleeve Gastrectomy on March 7th 2017 at Saifee Hospital. She had an uneventful surgery and anaesthesia course," said a hospital statement.
"She is now on oral fluids and accepting them well. The future course of action for the medical team working on her will be to correct all her associated medical problems, to get her fit enough to fly back to Egypt as soon as possible," it added.
A spokeswoman for Dr Muffazal Lakdawala, who is leading Abd El Aty's treatment, said the 37-year-old Egyptian's weight had been brought under 400 kilograms since she arrived in Mumbai in early February.
"Eman has lost over 100 kilograms and has been shedding weight gradually on a daily basis with all the treatment and support," she told news agency AFP.
Abd El Aty's family told the doctor that as a child she was diagnosed with elephantiasis, a condition that causes the limbs and other body parts to swell, leaving her almost immobile.
Abd El Aty has suffered a stroke and faced a series of other serious ailments owing to her weight including diabetes, high blood pressure, hypertension and sleep deprivation.
Bariatric surgery is a stomach-shrinking bypass procedure carried out on those wanting to lose excessive weight.
It is increasingly common in India, which has a growing problem with obesity, particularly in urban areas.
(With inputs from AFP)