Here is the list of few colleges in India which provides Neuroscience programs which you are looking for.

Sri Ramachandra University - Chennai, Tamil Nadu
Courses Offered:Master of Science- Neuroscience

National Institute of Mental Health and Neuro Sciences - Bangalore, Karnataka
Courses Offered:Master of Philosophy – Neurosciences

National Brain Research Centre - Gurgaon, Haryana
Courses Offered Doctor of Philosophy – Neuroscience

Sancheti Institute for Orthopaedics & Rehabilitation - Pune, Maharashtra
Courses Offered Master of Physiotherapy- Neurosciences

Jiwaji University - Gwalior, Madhya Pradesh
Courses Offered Master of Science – Neuroscience

R.D. Memorial College of Nursing - Bhopal, Madhya Pradesh
Courses Offered Master of Science in Nursing (Neuroscience Nursing)

Jaipur Occupational Therapy College - Jaipur, Rajasthan
Courses Offered Master of Occupational Therapy(Neurosciences)