This study addresses cross-border restitution claims to looted art, considering Nazi-looted art and colonial takings, but also more recent cultural losses resulting from illicit trafficking. Although these categories differ considerably, commonalties exist. The study highlights blind spots in the legal and policy frameworks and formulates recommendations on how these could be bridged. This study was commissioned by the European Parliament’s Policy Department for Citizens’ Rights and Constitutional Affairs at the request of the JURI Committee.