These are south Indian nits you can apply for admission.

• National Institute of Technology Tiruchirappalli
• National Institute of Technology Karnataka Surathkal
• National Institute of Technology Warangal
• National Institute of Technology Calicut
• National Institute of Technology Andhra Pradesh

These are some IIIT's in south india you can apply for admission.

• Indian Institute of Technology - Tiruchorapalli
• Indian Institute of Information Tehnology, Design and Manufacturing (IIITDM)
  Kurnool, Andhra Pradesh

Hey aspirant!!

Congratulations on getting 7k in JEE mains.

For getting admission to South Indian Nits, you can use the Nit predictor link for a better clarification, which is:

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits

Whereas for admission to IIIT, you can use the IIIT college predictor link:

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits

Hope this will help you in getting admission to your desired college.

Good luck!!