king edward memorial hospital... or KEMH, in short, in mumbai is one of the best institutes in India... it has an amazing patient load and you could gain a lot over there... especially in gynaecolgoy, pediatrics, internal medicine, surgery, neurosurgery etc..a no of international students do come there every year... it is one of the top ranked institutes in the country... especially the department of internal medicine, & pediatrics...
btw, i graduated from KEMH.... but if you ask me the procedure of applying... am really sorry, but am not aware of those....

there are other options... like some of the very good places are AIIMS in new delhi, Postgraduate institute of Medical Education and Research, Chandigarh.... and many more