As AI systems are being deployed, public and private entities are being confronted with the challenging task of complying with different - sometimes competing- legal frameworks. AI systems must be assessed from their multiple impacts on the rights and freedoms of individuals and comply with the respective laws put into place. One of the most debated examples is the impact the use of AI systems has on the right to non-discrimination. However, in order to achieve this normative goal, several well-established legislations, such as data protection, non-discrimination laws or the AI Act, play a role in reducing such impact, each of them contributing to a piece of the puzzle. For Data Protection Authorities, this brings a new level of complexity. Data protection should now be interpreted and implemented in the light of a multifaceted regulatory framework. From a regulatory perspective, this pushes regulators to build bridges between different experience in implementing these laws. This panel will delve into the challenges of supervision of this complex regulatory environment.