Dear aspirant,

Yes, there are slight chances that you will get admission at NITs with a 78.8 percentile in JEE Mains 2021. But you will not get admission at good NITs. You can try to get admission at some new NITs. But chances of getting a good branch are very less.

Following are the list of NITs to which you can apply for admission:

1. NIT Silchar
2. NIT Bhopal
3. NIT Durgapur
4. NIT Arunachal Pradesh
5. NIT Meghalaya
6. NIT Manipur
7. NIT Srinagar

You can also get admission to some of the government engineering colleges in West Bengal. The name of the colleges is as follows:

1. Kalyani Government Engineering College
2. Cooch Bihar Government Engineering College
3. Government College of Engineering and Ceramic Technology
4. Jalpaiguri Government Engineering College

You can predict your college through the following JEE Mains College Predictor

https://engineering.careers360.com/jee-main-college-predictor

I hope, you got your answer.