Hii Piyush, I am listing below the best private colleges for civil or automobile engineering-

• 
  VIT university, Vellore
  

Link for admission procedure-



https://engineering.careers360.com/articles/viteee-counselling/amp#referrer=https%3A%2F%2Fwww.google.com&amp_tf=From%20%251%24s

• 
  SRM university, Chennai
  

Link to admission form-



https://applications.srmuniv.ac.in/btech/?utm_source=google&utm_medium=cpc&utm_campaign=2019-SRM-NUA-Brand-Search-Exact+BMM&utm_adgroup=SRM-Form-BMM&utm_keyword=_+srm_+forms&gclid=Cj0KCQjws5HlBRDIARIsAOomqA31B7ab9jEe6w4BvEnKsUIVcl3ZxAI-E7bbm8C7J-4aWopvFc6zJE0aAlJkEALw_wcB

• 
  BITS Pilani
  

Link for Admission process-


http://www.bitsadmission.com/

• 
  Manipal Institute of Technology, Manipal.
  

Link to apply-

http://www.manipal.edu/Admissions/pages/applicationform.aspx

• 
  Amrita school of engineering, Coimbatore
  

Link for admission-



https://www.amrita.edu/campaign/?page_id=1324&utm_source=Google&utm_medium=cpc&utm_campaign=Btech_admssn_19_Brand&gclid=Cj0KCQjws5HlBRDIARIsAOomqA1phG5ZPPccLjqvVUzxtwb0hmMQ1jHC1W2KI6h4Le8j96yKF2CDNB4aAowAEALw_wcB

• 
  BIT Mersa, Ranchi
  

For more information you can check the link-



https://www.careers360.com/university/birla-institute-of-technology-mesra

• 
  PSG college of technology, Coimbatore
  

For more information check-



https://www.careers360.com/colleges/psg-college-of-technology-coimbatore

• 
  Thapar University, Patiala (only for civil)
  

How to apply- You will be admitted on the basis of your JEE Mains score. You can use the following link to register-

• 
  
  https://admissions.thapar.edu/courses.php?_ga=2.193379949.1736065728.1554223985-984510369.1546434443#under-graduate
  
  


• 
  PESIT, Bangalore
  

Link for admission process-



https://engineering.careers360.com/articles/pessat-application-form



I hope this would have helped you. All the best!