The chapter explores the question of whether the EU is bound by human rights obligations towards individuals located outside the territory of the Member States when it concludes trade agreements with third countries. In this light, the chapter focuses on two concrete sub-questions: (a) the question of the extraterritorial applicability of the EU Charter of Fundamental Rights; and (b) the question of the existence of a due diligence obligation incumbent upon the EU institutions to examine the impact of the agreement to the human rights situation in the third State. In relation to the question of the extraterritoriality of the Charter, the chapter argues that territorial considerations are immaterial in the context of determining the Charter's applicability; what matters in this context is whether the situation in question is covered by an EU competence. Next, the chapter examines whether a relevant EU duty of due diligence exists-as a matter of either EU or international law. It is shown that the existence of such a duty under international law is far from straightforward and it involves an examination of the relevant primary norms. The chapter concludes by highlighting that, as a matter of EU law, a duty of due diligence to take into account the impact of a future agreement on the human rights situation in a third State clearly exists.