Various media allow people to build transnational networks, learn about the world and meet people from other cultures. In other words, media may allow one to cultivate cosmopolitan capital, defined here as a distinct form of embodied cultural capital. However, far from everyone is identifying this potential. Analyses of a national survey  and in-depth interviews, conducted in Sweden, disclose a tendency among those in possession of cultural capital to recognise and exploit cosmopolitan capital in their  media practices. Those who are dispossessed of cultural capital are significantly less liable to approach media in this way. Relying on various media practices in order to reshape one’s cultural capital exemplifies what Bourdieu called a reconversion strategy. As social fields undergo globalisation, media offer opportunities for the privileged to remain privileged – to change in order to conserve.