With a score of 390, your rank might be approximately between 131606-142409. This is an expected rank range: https://medicine.careers360.com/articles/neet-result-marks-vs-rank . Now regarding the Colleges that you may have a shot at, you have a chance in:

• BLDE University
• Raja Rajeshwari Medical College
• Sri Siddhartha Medical College

A seat in Govt. Medical Colleges is difficult. But you might get a seat under Government Quota in these Medical Colleges. Now 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 complete list of colleges that you may have a shot at, please use our College predictor: https://medicine.careers360.com/neet-college-predictor?