Seven sailors were also injured when fire had erupted on board Sindhuratna around 40 nautical miles off Mumbai on February 26.
Navy Chief Admiral D K Joshi resigned taking moral responsibility for the incident.
The Navy had said human miscalculation led to the fire that broke out in cables on the submarine. The probe had mentioned a deviation from standard operating procedure.
The PIL had sought the court's direction to the Defence Ministry to submit the status report on the action taken by it on the requisitions concerning repairs and replacement of safety equipment of the armed forces.