Hello Dear

Based upon your respective percentage in the PCM category it might be very hard for you to get into the top ranges private institutions but in case if your overall percentage is > 60% then it might be somewhat possible and inorder to check all such private institutions for the engineering located in Mumbai you are requested to visit the link is given below.

https://engineering.careers360.com/colleges/list-of-private-engineering-colleges-in-mumbai

All the best