Hii Shrushtii..

I am providing is a list of best computer science engineering colleges in Mumbai. The colleges are- 

• Indian Institute of Technology (IIT).
• VJTI, Mumbai.
• KJ Somaiya Institute of Engineering and information technology.
• Amity University, Mumbai.
• Saraswati Engineering College ,Navi Mumbai.
• SNDT Women's University ,Mumbai.
• Mukesh Patel College of Engineering and Technology.
• Sardar Patel Institute of Technology.
• KJ Somaiya College of Engineering.
• Rajiv Gandhi Institute of Technology ,Mumbai.
• Don Bosco Institute of Technology ,Mumbai.
• Saint Francis Institute of Technology.
• Rizvi College of Engineering.
• Bharati Vidyapeeth College of Engineering.
• Datta Meghe College of Engineering.
• Xavier's Institute of Technology, Mumbai.

These are the best computer science engineering colleges in Mumbai.

Hope it helps. 

Best of luck for your future. 

there are so many colleges in mumbai i.e private & government colleges.

you can search the list of private colleges directly from google chrome...  

Hey !
Here is the list of few too rated Engineering colleges offering computer science and engineering stream :
1) Indian Institute of Technology - [IIT]
2) Sardar Patel Institute of Technology - [SPIT]
3) Dwarkadas J Sanghvi College of Engineering - [DJSCE]
4) Fr. Conceicao Rodrigues College of Engineering - [CRCE]
5) Vidyalankar Institute of Technology
6) Mukesh Patel School of Technology Management and Engineering - [MPSTME]
7) K. J. Somaiya College of Engineering - [KJSCE]
8) Don Bosco Institute of Technology - [DBIT]
Do check the below link for more information regarding the colleges.
https://engineering.careers360.com/colleges/list-of-computer-science-engineering-colleges-in-mumbai
Hope this help
All the best !