"As per the regulatory guidelines in force, cash was handed over to David Headley after completing due diligence", the bank said in a statement.
The IndusInd Bank was responding to media reports which said that all payments to Headley were made through the bank's Nariman Point, Mumbai, branch.
Headley, who is involved in the 2008 Mumbai terror attacks and has become an approver, has made several revelations in his deposition via conferencing before a Mumbai court.
In 2006, under a money transfer arrangement approved by regulators, the Bank handled a few inward remittances under the Money Transfer Service Scheme (MTSS), in the normal course of business, in October-November, it said.
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Further, IndusInd Bank said it had obtained the required documents, including a copy of Headley's passport, issued by the US authorities, valid from March 2006 to March 2016.
There were investigations by national agencies between 2009 and 2011 and the KYC documents were produced before them, the bank said.