They follow more than half a million fellow Rohingya who have emptied out of northern Rakhine in a single month, fleeing an army crackdown and communal violence the United Nations says amounts to "ethnic cleansing".
Ali said that a representative of de facto civilian leader Aung San Suu Kyi had agreed to formulate a working group to coordinate repatriation of the troubled refugees.
Myanmar says more than 500 people have been killed in the latest violence, majority rebels.
The Indian envoy said Myanmar security forces' operations resulted in the exodus of a large number of people from Rakhine State, many of whom have sought shelter in neighbouring Bangladesh.
The status of Rohingya in Myanmar remains unsettled where they are denied citizenship and classified as illegal immigrants. Food distribution in the vastly overcrowded settlements is still ad hoc and uncoordinated, the United Nations says, more than a month after refugees began pouring into southern Bangladesh to escape ethnic bloodshed in Myanmar.
This would be done according to criteria agreed in 1993, when tens of thousands of Rohingya were repatriated, she said.
There was no immediate comment from Suu Kyi's representative, who was to return to his country on Monday.
The Union Home Ministry said in a gazette notification that the central government has designated Zorinpui land check post in Lawngtlai district of Mizoram as an authorised immigration check post for entry or exit with valid travel documents for all classes of passengers to or from Myanmar.
At Monday's meeting, Bangladesh proposed signing a bilateral agreement for the repatriation process and handed over a draft to the Myanmar delegation, the Minister added. At the same time, Bangladesh has been pushing Myanmar to take back the refugees. Aid groups have warned that epidemics could easily spread in the desperate conditions.
The crisis over Myanmar's treatment of the Rohingya is the biggest problem leader Aung San Suu Kyi has had to face since forming a government a year ago after winning a landmark election in late 2015.
But no details of the planned repatriation were given by Bangladesh Foreign Minister A.H Mahmood Ali, and there was widespread scepticism over whether any of the more than 800,000 Muslim Rohingya now in Bangladesh would return.