Devanshu,  you haven't mentioned your Category. This is important because every Category has different cut offs. With a score of 558, your rank might be approximately between 19,000-22,000. This is an expected rank range: https://medicine.careers360.com/articles/neet-result-marks-vs-rank . If you hold the domicile of Rajasthan for a seat in Karnataka, you should try under All India Counselling. In 2019, under All India Quota, the cut offs for various Categories have been as follows:

• General Category: 409
• SC: 465
• ST: 451

Having said that, this is based on 2019 data and cut offs change every year. Cut offs change every year depending on various factors such as no.of Candidates appearing for the exam, no.of Candidates qualified, top NEET score and difficulty of the exam. For a complete list of colleges that you may have a shot at, please use our College predictor: https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer