Chapter 6 aims to construct a future-looking theoretical framework for handling cultural objects for which questions of past illegality and/or illegitimacy arise but where a potential claimant – whether an individual, a community, or a source nation – is unable to pursue formal legal proceedings against the current possessor, and the relevant law enforcement agencies cannot equally pursue criminal, administrative, or public law proceedings. Accordingly, the chapter seeks to identify normative principles for dealing with the issue of “restitution” (broadly defined) that operates outside the realm of hard-law norms and institutions. It starts by examining the key aspects of the institutional/procedural and normative principles of the restitution committees established in certain European countries and tasked with the development and implementation of “just and fair solutions” to address Holocaust-era wrongful dispossessions. It then considers whether “just and fair solutions” can be devised for other contexts and, if so, how legalistic ethical reasoning could be adapted for these settings. The focus then shifts to the case study of France and its complex approach to the restitution of colonial-era objects to African source countries. The chapter then examines the various remedial mechanisms that are in operation, or that can be developed, to apply such normative principles to broader contexts of addressing past wrongs, including long-term loans, digital restitution, and the establishment of cross-border trusts to enable the joint custody and stewardship of collections. The chapter, and the book, conclude by addressing the role of such a normative blueprint, aligned with the concept of new cultural internationalism, in moving toward the convergence of law, policy, and markets for cultural property.