Registrations for the ESI quota for admission to under graduate MBBS courses are the medical level will be held between the second and third week of June after the results are published for the NEET UG examination is it supposed to be held on 5th may 2019
you will be notified regarding the above details on the counselling website of Neet as well as you could visit the following article to know more details about the relevant information that you want regarding admission to the ESIC courses
Https://medicine.careers360.com/articles/neet-counselling
nevertheless you will have to qualify for the Neet examination and get appropriate ranks and marks to be eligible for the ESIC quota counselling