As per the previous year cutoff the chance seems less to get a seat in NITs, IIITs & GFTIs with your 87 percentile.

however you can try with COMEDK

Here are the list of colleges you can look with your rank in COMEDK

RV College of Engineering, Bangalore

BMS College of Engineering, Bangalore

Ramaiah Institute of Technology, Bangalore

PES Institute of Technology, Bangalore South Campus, Bangalore

To get detailed prediction branch wise

https://engineering.careers360.com/college-predictors/comedk-college-predictor/results?exam_id=425&counselling_id=4197&rank=10588&rank_entered=10588&area_region_id=4&minority_religion_id=5&minority_language_id=12

You can also use our free comedk college predictor tool from here

To know your other best admission possibilities of Institutes & branches in JOSAA & State counseling as per your percentile, You can use JEE Main College Predictor tool given below.

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Thank You