Streetdirectory.com Gleneagles Hospital is located in Tanglin Singapore. The home of Singapore Botanic Gardens, Tanglin is a residential area for well-to-do locals and expatriates. There are many international schools, government buildings and embassies here, i.e Ministry of Foreign Affairs, the United States Embassy, the Australian High Commission, the Chinese Embassy, the British High Commission and the British Council. Gleneagles Hospital Singapore is where many plastic surgeons, ENT specialist, gynaecologists and many other medical specialists are located. Close by is the district.s shopping area where you find Tanglin Mall and Tanglin Shopping Centre specializing in antiques, carpets and teak furniture.