Dear Praveen, here's the schedule for Maharashtra NEET counselling 2019-

Online Registrations-June 22 to June 27, 2019

Release of applicant list-June 28, 2019 after 10:00 PM

Declaration of seat matrix - June 30, 2019

Document Verification-June 28 to July 3, 2019

Publication of provisional merit list-July 4, 2019 (after 5:00 PM)

Maharashtra MBBS Online Counselling-June 30 to July 5, 2019

Release of first seat allotment list-July 6, 2019 (after 5:00 PM)

Last date of reporting at the allotted college-on or before July 12, 2019

This was the complete schedule for round 1 counselling.

You can check the given below link for the the whole counselling schedule -

https://medicine.careers360.com/articles/maharashtra-mbbs-counselling/amp

All the best 

Hope this helps