In this contribution, Konstantin and Marina develop a comprehensive overview of the current trends and challenges to teaching and training science communication from an international perspective. They do that by, firstly, developing a comprehensive understanding of science communication in the context of institutional challenges to higher education around the globe; secondly, discussing the current political, public, and scholarly debates on the relationship between science, media, and society with regard to existing and emerging science communication curricula in the Global South and the Global North; and, thirdly, showcasing best-practice examples of successful participatory science communication teaching and training from those regions.