Hi there!

The topmost Institutions for ME/MTech in Petroleum Engineering are as follows:

1. Indian Institute of Technology Bombay.
2. Indian Institute of Technology Madras.
3. School of Engineering, University of Petroleum and Energy Studies, Dehradun.
4. MIT College of Engineering, Pune.
5. Maharashtra Institute of Technology, Pune.
6. Aditya Engineering College, Surampalem.

For more details view the following site:

https://engineering.careers360.com/colleges/list-of-me-mtech-in-petroleum-engineering-colleges-in-india

Hope this helps!

Thank you!