Hello aspirant!
Hope you are doing well!

MBBS/BDS counselling for Maharashtra state quota is conducted by Directorate of Medical Education and Research (DMER), Mumbai.
As of now DMER Mumbai has not announced any dates for Round 2.
Just keep yourself updated in their official website.
To know more about Maharashtra NEET Counselling 2020 - Result (Announced), Merit List

https://medicine.careers360.com/articles/maharashtra-mbbs-counselling#Maharashtra-NEET-MBBS-2020-counselling-dates