As we approach the full application deadline of the EU AI Act on August 2, 2026, organizations deploying High-Risk AI Systems (HRAIS) face a dual compliance burden.[This article analyzes the structural frictions and necessary convergences between the Data Protection Impact Assessment (DPIA) mandated by the GDPR and the Fundamental Rights Impact Assessment (FRIA) introduced by the AI Act. We propose an integrated governance framework to mitigate administrative redundancy while ensuring robust fundamental rights protection.