Hello Rohini

your question is not proper because you have not mentioned any specific course name for which you looking for a college near pune and mumbai. But apart from these all thing here I have mentioned below the list of Government colleges near Pune and Mumbai.

• UNIPUNE (Pune University) - Savitribai Phule Pune University
• Tilak Maharashtra Vidyapeeth, Pune
• DIAT Pune - Defence Institute of Advanced Technology
• IISER Pune - Indian Institute of Science Education and Research
• Gokhale Institute of Politics and Economics, Pune
• Deccan College of Post Graduate and Research Institute, Pune
• IIT Bombay - Indian Institute of Technology
• ICT Mumbai - Institute of Chemical Technology
• YCMOU Nashik - Yashwantrao Chavan Maharashtra Open University
• Mumbai University - University of Mumbai
• Grant Medical College, Mumbai
• JBIMS Mumbai - Jamnalal Bajaj Institute of Management Studies
• Tata Memorial Hospital, Mumbai
• MNLU Mumbai - Maharashtra National Law University
• The Institute of Science, Mumbai
• Indian Maritime University, Navi Mumbai Campus

Thanks