Intercultural communicative competence (ICC) links three notions, i.e. language, culture and cognition, which are declared crucial in approaches to ICC in educational context. Despite the announced importance of the notions, none of the ICC models specifies the relationship between these elements in a motivated way and hence unjustified dichotomies arise. Educational approaches to ICC can be divided into cognitive or social ones with the former emphasizing an autonomous nature of language, culture and cognition and the latter focusing on social aspects and thus marginalizing cognition. The article aims to stress the need for a socio-cognitive approach to ICC which will view language, culture and cognition in a holistic way. While this approach is based on complexity science, cognitive psychology, grounded cognition and intercultural pragmatics, the article demonstrates that cognitive linguistics can become an encompassing framework for a holistic model of ICC.