The issue of cultural competency in health care continues to be a priority in Australia for health and human services professionals. Cultural competence in caring for Aboriginal and Torres Strait Islander peoples is of increasing interest, and is a priority in closing the gap in health disparities between Indigenous and non-Indigenous Australians. Through a collaborative conversation, the authors draw on a case study, personal experience and the literature to highlight some of the issues associated with employing culturally appropriate, culturally safe and culturally competent approaches when caring for Aboriginal and Torres Strait Islander peoples. The intent of this article is to encourage discussion on the topic of cultural competency, and to challenge health professionals and academics to think and act on racism, colonialism, historical circumstances and the political, social, economic, and geographical realms in which we live and work, and which all impact on cultural competency.