This chapter addresses the need to rethink the EU-LAC relations in the face of a world experiencing a reconfiguration of the world order caused by the global leadership dispute between old, new, and emerging powers. The digital age results from an “Industry 4.0” led by Big Tech Companies, whose economic capacity is superior to main large economies. These companies are de facto new geopolitical actors, and as a result, we have a Global Tech Governance, where Nation States are losing relevance. The EU-LAC Digital Alliance offers the opportunity to rethink the role of the EU and LAC regions in the international system and global governance future, as “global actors” or “global observers”. The EU-LAC interregionalism, focusing on digital affairs, can contribute to defending the rules-based global order. At the same time, both regions can create an interregionalism 4.0 for global governance 4.0.