This chapter considers issues in cognition with particular reference to intercultural communication (ICC). A focus is how coming from particular cultural and language backgrounds might impinge on people’s thought processes and spoken interactions with people from separate cultural and linguistic backgrounds. Our reflections here are informed, in some measure, by our experiences of working closely with students following postgraduate programs of study in ICC, through English. We commence with a brief introduction to relevant basic issues and current thinking in cognition and ICC, and then link these to particular cultural, communicational, and linguistic considerations, in an attempt to provide an indication of ways in which cognition and culture combine to shape, influence, or affect interaction that can be considered intercultural.