Some of the best colleges in India for Petroleum are - 

• Indian Institute of Technolgy Bombay (IITB)
• Indian Institute of Technolgy Indian School of Mines Dhanbad (IIT(ISM) Dhanbad)

Some of the best colleges Abroad for Petroleum are - 

• Texas A&M University
• Stanford University

• Department of petroleum engineering
• Rajiv Gandhi institute of petroleum technology
• Petroleum at maharastra institute of technology
• University of petroleum and energy studies
• Pandit Deendayal Petroleum University

• University of Adelaide
• Edith cowan University
• Coventry University
• University of portsmouth
• Robert Gordon University
• The university of Queensland
• Slippery rock university of pennsylvania

Talking about abroad first, below mentioned some university are from all over the world with good ranking

1) University of Bradford, UK

2) Univeristy of adelaide, Australia

3) University of queensland, Australia

4) University of texas at austin 

5) colorado school of mines 

6) TU clausthal, Germany 

Below  are some university in INDIA,

1. Indian Institute of Technology, Multiple Locations
2. Birla Institute of Technology, Pilani
3. National Institute of Technology, Silchar
4. Vellore Institute of Technology, Chennai
5. Indian School of Mines, Dhanbad
6. National Institute of Technology, Calicut
7. Sri Ramaswamy Memorial University, Multiple Locations
8. Pandit Deen Dayal Petroleum University, Gandhinagar
9. National Institute of Technology, Bhopal
10. University of Petroleun and Energy Studies, Uttarakhand