He had requested an amendment to the Goa, Daman and Diu Mining Concessions (Abolition and Declaration as Mining Leases) Act, which will allow mining leases in the coastal state to remain operational till 2037.
The Goa Legislative Assembly had last week passed a resolution urging the Centre to suitably amend the Act.
"He (Modi) assured to find a solution to the issue within the next 2-3 months," said Cabral.
The state's mining sector has been shut since March 16 this year after the Supreme Court, through an order in February, cancelled 88 leases and banned the extraction of fresh ore.
"The GoM is convinced that the Goa mining issue is different from rest of the country and has agreed to help out the state," he said.
Cabral said Goa will constitute a team comprising the chief minister and the MLAs from the mining belt for taking follow-up of the issue with the Centre.
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