Her mission, a precursor to the Truman Doctrine, completed, New joined Task Group 125.4 (TG 125.4), then operating with British warships in the Adriatic to prevent any outbreak of hostilities between Italy and Yugoslavia over Trieste.
On 8 February 1947, New got underway for the United States, where, after overhaul, she commenced three years of employment in type training and anti-submarine warfare (ASW) exercises from Key West to the Davis Strait.
On 5 March 1965 she resumed her regular 6th Fleet deployment, adding, on that tour, a new dimension by taking on patrol duties in the vital and volatile Red Sea and Persian Gulf areas to bolster units of the Royal Navy's forces East of Suez.
On 29 July she arrived at Subic Bay and by 8 August she was at Da Nang, South Vietnam, whence she steamed north to take up duties on the Northern Search and Rescue Station in Tonkin Gulf as a unit of Task Force 77 (TF 77).
On 19 November she returned to Vietnam for further fire support missions south of the DMZ, continuing that role until sailing for home on 1 December to arrive in Hampton Roads on 16 January 1968.
Departing the East Coast on 30 October, the destroyer set a course, necessitated by the closure of the Suez Canal, for Recife, thence around the Cape of Good Hope and into the Indian Ocean.
By the end of the year she had called at Lourenço Marques, Diego Suarez, and Mombasa, and with the arrival of 1969, she added Djibouti and Bombay to her good-will visits prior to commencing her assigned operations along the coast of the Eurasian heartland.
Upon arrival back in her home port on 25 September 1969 New underwent tender availability with USS Tidewater and in November 1969 she entered the Norfolk Naval shipyard in Portsmouth, Virginia for a period of two weeks to undergo minor repairs.