This chapter reviews the idea of peripheral science through three ‘strategies’. The first, more personal, shows the origin of the concept anchored in my professional reality in the Venezuelan institutional context (in the 1970s–1980s). Peripheral science is seen more as an object, a problem, a way of ‘living or doing science’ that is identified in the practices and narratives of scientists. The second strategy is textual, drawing on some more recent works to point out that peripheral science has, somehow, mutated toward (a) an interest beyond the natural sciences—adding the social sciences to the focus, (b) a new topology of transnational research teams and groups defining hegemonic themes and problematizing the level of analysis, and (c) a turn toward the circulation of knowledge that seeks to make asymmetries explicit but without denying the need for knowledge displacement as a condition for its (re)production and even for the very idea of excellence. A third, more speculative, strategy aims to show peripheral science as a different mode of sociality (from that of the centers) that would emphasize frictional relationships.