Hello,
The best NITs for metallurgical engineering are listed below :

National Institute of Technology Tiruchirappalli.

National Institute of Technology Warangal.

National Institute of Technology Rourkela.

Visvesvaraya National Institute of Technology Nagpur.

National Institute of Technology Durgapur.

Malaviya National Institute of Technology Jaipur.

National Institute of Technology Srinagar.

For furthermore information please go through the link given below :

https://engineering.careers360.com/articles/nits-cutoff-for-b-tech-metallurgical-and-materials-engineering

I hope this would help you. For further queries please feel free to write me down in the comment box.