Parmenides' philosophy is unique in the history of ideas in Europe, but it has a striking parallel in India, from about the same age. The unchanging Absolute, called 'Being' or 'Existent'; the depreciation of everyday objects as mere 'names'; and the construction of the empirical world out of elements called 'forms' are all found in the first text of the Sadvidyā (Chāndogya Upanişad VI 1-7). Comparing details and taking into consideration other old Indian material this paper tries to prove that convergence of thought or parallel development is out of the question - there must have been actual contact. Also it suggests that the most probable scenario is that Parmenides travelled to India, learned the language and some important philosophical texts, and brought them back to Greece.