If you clear the sectional cut off then you might recive a very few calls from the new IIMs however, chances are very less. But With 80+ Percentile the list goes quite narrow of decent bschools but you can go for the following:

1. BIMTECH, Greater Noida

2. BITS, Pilani

3. Christ University, Bangalore

4. Great Lakes, Gurgaon

5. IBS-H

6. FORE

7. LOYOLA

8. IRMA

9. NIT Rourkela

10. Goa Institute of Management

11. Lal Bahadur Shastri Institute of Management, New Delhi

12. SP Jain Institute of Management and Research, Mumbai

For more info, use this link https://bschool.careers360.com/articles/what-if-my-cat-percentile-between-80-and-90-do-i-have-any-chance-at-top-b-schools