Hello student some of the best private automobile engineering college are as mentioned below -

1)Manipal Institute of Technology, Manipal

2)Dayananda Sagar college of engineering, Banglore

3)SRM institute of science and technology, Chennai

4)lovely professional university, Phagwara

5)PSG College of technology

For more updates refer to the link mentioned below - https://engineering.careers360.com/colleges/list-of-automobile-engineering-colleges-in-india

Feel free to comment if you have any doubt

Good luck