State Governor M.K. Narayanan said indemnifying the poor investors was imperative.
"There are several inquiries that are going on, but the most important issue now is: Can we give back some money to the investors," Narayanan said.
Speaking to the media, the chief minister blamed the central government's "casual approach" and the failure of its agencies like SEBI and Reserve Bank of India for the scam, and demanded the centre return the money of the depositors.
Banerjee also lashed out at the state's erstwhile Left Front regime for not taking the right steps.
"A storm has come because of the deeds of the earlier (Left Front) government and casual approach of the centre," she told a media meet at the state secretariat Writers' Buildings here.
However, Banerjee assured the depositors of the Saradha Group which has downed shutters failing repay the money collected from them that there was nothing to panic.
"Our commission has already started working. There is no reason to panic."
The protests continued on the streets, as Youth Congress and the BJP's women front staged separate demonstrations to protest against the scandal and demanded strictest action against Sen.
State Congress president Pradip Bhattacharya accused the government of trying to dilute the issue to save its "own people".