She then steamed for independent ship exercises off Okinawa and stopped at Naha to load the men and equipment of Marine Transport Squadron 163 for transportation to Yokosuka. For the next two months, "Alamo" shuttled various Marine Corps units between Yokosuka and Okinawa, terminating her last voyage of this duty at Naha on 11 February 1959. Three days later she pushed on to Sasebo, Japan, but again got underway for home on 23 February and paid visits to Adak and Kodiak, Alaska, and San Francisco, Calif., before reaching San Diego on 12 March. Following a round-trip run to Astoria, Oreg., — from 17 to 25 April – to deliver a load of small craft, she took part in exercises with other units of Amphibious Squadron 3 off Coronado, followed by "Operation Twin Peaks", held off the California coast from 18 May to 5 June. Late in September, "Alamo" sailed for the Far East. The ship visited Kaohsiung, Taiwan; Yokosuka, Iwakuni, Kagoshima, and Shimazu, Japan, Naha, Okinawa, Hong Kong, Subic Bay in the Philippines, and Buckner Bay, Okinawa. After touching at Pearl Harbor, she arrived at San Diego on 3 May 1960. From 25 July to 1 November, the ship was overhauled at the Todd Shipyard, Seattle, Wash.; and, from 14 November to 9 December, she went through refresher training. The ship began 1961 with amphibious refresher training at San Diego and devoted most of the first half of the year to training and gunnery exercises, Naval Reserve training cruises and "Operation Greenlight Phase III". On 17 June, she got underway for another WestPac deployment. Upon her arrival at Subic Bay, "Alamo" joined the 7th Fleet's Amphibious Ready Group (ARG) and shuttled Marine Corps units to Buckner Bay. She took part in "Operation Warm-Up" off the northwest coast of Okinawa from 13 to 20 October. A visit to Hong Kong followed before the ship returned to Subic Bay and began preparations for her voyage back to the United States. She got underway early in December and arrived at NS San Diego on 16 December. "Alamo" remained there until 6 March 1962, when she got underway for San Francisco and the Todd Shipyard for her first interim overhaul. Six weeks later, she returned to San Diego. Local operations occupied her until 16 October when she got underway for the Far East with Amphibious Squadron 3.