Dear Madhu, in 2018, under State Quota, ESI Bangalore secured a seat with 368 marks and ESIC Gulbarha secured a seat with 374 marks. Both these cut offs have been for General Category. Now it has been stated this year the cut offs for Government Medical Colleges will go higher by 25 marks. In such case, for a seat in either of these colleges, your NEET score should be above 430 approximately. ESIC seats are filled through All India Quota and those seats which are left vacant after All India Counselling will be turned to State. Having said that, cut offs change every year and are dependant on various factors like no.of seats availble, no.of candidates appearing for the exam, top NEET score and difficulty of the exam. You can check the cut offs of various colleges at:
https://medicine.careers360.com/articles/neet-cutoff-karnataka/amp