Dear Nitin,

VNIT Nagpur is a government college and takes admission through MHT CET.

You need a domicile certificate of Maharashtra to apply in this college.

You can apply for private colleges of Maharashtra through JEE Main.

You can check below top colleges in engineering in which you can apply

Bharati Vidyapeeth Deemed University College of Engineering, Pune

GH Raisoni College of Engineering, Nagpur

Maharashtra Institute of Technology, Pune

Army Institute of Technology, Pune

Fr C Rodrigues Institute of Technology, Navi Mumbai

KJ Somaiya College of Engineering, Mumbai

MIT College of Engineering, Pune

Mukesh Patel School of Technology Management and Engineering, Mumbai

To check complete list you can refer below link

https://engineering.careers360.com/colleges/ranking/2017/top-private-engineering-colleges-in-maharashtra-accepting-jee-main-score

Good Luck!!