Nestorian teachings were declared heretical in 431 CE. From 428 to 431, he served as Archbishop of Constantinople. It is said he died in Egypt.
A.O. Whipple, The Role of the Nestorians and Moslems in the History of Medicine, Princeton University Press (Princeton 1967).
Geza Uray, Tibet's Connections with Nestorianism and Manicheism, Proceedings of the Csoma de Körös Memorial Symposium held at Velm-Vienna, Austria, 13-19 Sept 1981, Arbeitskreis für tibetische und Buddhistische Studien, Universität Wien (Vienna 1983), vol. 1, pp. 399-429. P.t. 351, containing 'Jesus the Messiah'. The Christian cross in P.t. 1182.
Li Tang, Study of Nestorian Christianity in China and Its Literature in Chinese, Peter Lang Publishers (New York 2002). New translations of the documents from Dunhuang.
In a paper by Stephen Andrew Missick, "The Assyrian Church in the Mongolian Empire as Observed by World Travelers in the Late 13th and Early 14th Centuries (PDF from internet), p. 103, we find a quote from Aziz S. Atiya, History of Eastern Christianity, University of Notre Dame Press (Notre Dame, Indiana 1956), p. 263: "One relic of Nestorianism in the heart of Asia is said to be the survival of its ritual in a debased form in the Lamaism of Tibet [this ritual includes blessing of bread and wine in a communal meal]. The striking resemblances with Lamaist Monasticism, the use of holy water, incense and vestments of a similar character to Nestorian practices, must be traced to the days of the Nestorian missionary in the high Middle Ages."