The strong interest in intercultural competence—and related concepts such as transcultural competence—reflects the response to economic and other global changes which have, in many countries, increased mobility motivated by trade and, increasingly, by study abroad. Intercultural competence facilitates success in these endeavors, and is best defined according to what individuals need in specific contexts. Models, which describe aspects of the competences needed to be successful in new environments, derive from various disciplines and have varied purposes. Models are often not only descriptive but also prescriptive, with implicit recommendations as to desirable competences and behavior. Pedagogical models, derived from language teaching, pay more attention to linguistic competence than others and also include general educational aims—the development of the person—as well as the instrumental purposes more prominent in models used to prepare people to engage in commerce with other countries. The assessment of competences in the commercial context is usually based on psychological models. Assessment of intercultural competence acquired during language learning and general education is much less developed, but models and descriptors—“can‐do” statements—are becoming available, and may be used in self‐assessment in particular.