Over the past two decades, efforts have been made to enrich curriculum studies internationally. Among the field's new theories which have emerged in recent years is "itinerant curriculum theory" (ICT), proposed and developed by João Paraskeva. Its aim is to free curriculum from the dominance of Western discourses and make room for diverse international epistemologies. The purpose of this article is to explain and analyse ICT. After explaining the meaning of this theory and its three basic components -- global cognitive justice, the "river" and "the South", and concerns about the type and application of language --, the author goes on to analyse these basic components. In his analysis, he considers (1) ICT's view of the Western and non-Western worlds; (2) ICT's perception of the meaning and territory of what is referred to as "the South"; (3) ICT and advancements of curriculum studies at national and international levels; and (4) ICT, internationalisation and increasing participation of countries in the generation and sharing of curriculum knowledge. The article concludes with a summary of the advantages of ICT, complemented by some suggestions how it could be further strengthened.