Peter Robertson was born in Glasgow in 1960, of Scottish and Irish descent, son of William John Robertson, formerly Chairman, West of Scotland Refractories, and Isobel Murray Imrie; he was the step-nephew of Ames Lyell Imrie CBE, variously City Chamberlain of Edinburgh, City Chamberlain of Dundee, and Consul of Sweden at Edinburgh. He was brought up in Perthshire, and educated at King's College, Cambridge. He is the President, Publisher, and Founding Editor of The International Literary Quarterly (Interlitq), a not-for-profit corporation in the State of New York.
A journalist by profession, he also taught for the British Council in Madrid, and was later employed as an Editorial Assistant for the Alfaguara Publishing House in Buenos Aires. He was then contracted by the International Monetary Fund as a linguist, and for which organization he also conducted research. Subsequently, he acted as a Consultant for a number of international agencies, including the World Bank, the European Investment Bank, the Organization for Economic Cooperation and Development, and UN Women.
As an author, his fiction has been translated into several languages, and he has published translations of work by authors such as Jorge Luis Borges, Rosalía de Castro, Rubén Darío and Paul Éluard.
He is a Fellow of the Royal Society of Arts. a Fellow of the Society of Antiquaries of Scotland, a Fellow of the Chartered Institute of Linguists, and a Fellow of the English Association.
He lives in Argentina and Scotland.