This article explores what the "intercultural turn" might mean in the case of teaching English to speakers of other languages (TESOL). The discussion is contextualised in what has been termed the "expanding circle" of English and focuses on an English as a foreign language (EFL) class in a Mexican university, a context where the full implications of a shift from EFL to English as a "lingua franca" (ELF) have yet to be addressed. We consider how the intercultural turn might be understood in this Mexican context and then present the rationale for, and design of, a technology-based (wiki) extra-curricular pilot project which adopted less of an EFL/cultural and more of an ELF/intercultural approach. We evaluate the evidence from this small-scale project in terms of students' developing general cultural awareness and suggest that this type of project, an example of the intercultural turn, might be more widely applicable in similar "expanding circle" EFL contexts.