We examine the conceptions of science communication, especially in relation to "public engagement with science" (PES), evident in the literature and websites of science research funding bodies in Europe, North America, South America, Asia and Oceania, and Africa. The analysis uses a fourfold classification of science communication to situate these conceptions: professional, deficit, consultative and deliberative. We find that all bodies engage in professional communication (within the research community); however, engagement with the broader community is variable. Deficit (information dissemination) models still prevail but there is evidence of movement towards more deliberative, participatory models.