"Torsk" resumed her Mediterranean deployments in the 1960s, which included a joint training exercise, "New Broom X", with fleet units of British Commonwealth navies. She also continued to help train anti-submarine forces of the Atlantic Fleet. She participated in the blockade of Cuba during the Cuban Missile Crisis in October 1962. The vessel was decommissioned on 4 March 1964, after nearly twenty years of service. She was taken to the Boston Navy Yard and modified to be used as a Navy Reserve training vessel, stationed in the Washington Navy Yard. She operated there until 1971, and on 15 December she was stricken from the Naval Vessel Register.