The use of "Greater India" to refer to an Indian cultural sphere was popularised by a network of Bengali scholars in the 1920s who were all members of the Calcutta-based Greater India Society. The movement's early leaders included the historian R. C. Majumdar (1888–1980); the philologists Suniti Kumar Chatterji (1890–1977) and P. C. Bagchi (1898–1956), and the historians Phanindranath Bose and Kalidas Nag (1891–1966).

Some of their formulations were inspired by concurrent excavations in Angkor by French archaeologists and by the writings of French Indologist Sylvain Lévi. The scholars of the society postulated a benevolent ancient Indian cultural colonisation of Southeast Asia, in stark contrast—in their view—to the colonialism of the early 20th century.

The term "Greater India" and the notion of an explicit Hindu colonisation of ancient Southeast Asia have been linked to both Indian nationalism and Hindu nationalism. However, many Indian nationalists, like Jawaharlal Nehru and Rabindranath Tagore, although receptive to "an idealisation of India as a benign and uncoercive world civiliser and font of global enlightenment," stayed away from explicit "Greater India" formulations. In addition, some scholars have seen the Hindu/Buddhist acculturation in ancient Southeast Asia as "a single cultural process in which Southeast Asia was the matrix and South Asia the mediatrix." In the field of art history, especially in American writings, the term survived longer due to the influence of art theorist Ananda Coomaraswamy. Coomaraswamy's view of pan-Indian art history was influenced by the "Calcutta cultural nationalists."

By some accounts Greater India consists of "lands including Burma, Java, Cambodia, Bali, and the former Champa and Funan polities of present-day Vietnam," in which pre-Islamic Indian culture left an "imprint in the form of monuments, inscriptions and other traces of the historic "Indianising" process." By some other accounts, many Pacific societies and "most of the Buddhist world including Ceylon, Tibet, Central Asia, and even Japan were held to fall within this web of Indianising "culture colonies"" This particular usage—implying cultural "sphere of influence" of India—was promoted by the Greater India Society, formed by a group of Bengali men of letters, and is not found before the 1920s. The term Greater India was used in historical writing in India into the 1970s.

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