In recent decades, representation of ethnic minorities increased significantly across Europe, while concurrently many political parties moved to the right on multiculturalism and immigration, a seeming paradox. We explain it by arguing that often it is the same parties that move to the right and simultaneously increase representation. They use this dual strategy in an attempt to positionally converge to the median voter, where the increased minority representation acts as a reputational shield to prevent allegations of intolerance. Looking at parliaments of eight European countries between 1990 and 2015, we find that parties that shifted to the right in response to a public mood swing to the right are indeed significantly more likely to bring more ethnic minority politicians into parliament. This has important implications for the literature on descriptive representation and party platform change.