The health sector is currently challenged by the advent of e-health services and by exceptional circumstances, e.g., the Covid-19 pandemic. These challenges have mainly showed a critical need on the wide collaboration between health actors and the efficient sharing of concrete data. However, the processing of medical information, considered as highly sensitive data, requires the compliance with a strict national and international legal framework. Encompassing these challenges requires future health infrastructures and services that go beyond their traditional rigidity by integrating privacy-preserving collaborative data-sharing environments, to reach equitable societal and health gains. EQUIHid will accelerate the digitization of data-centric health services, through the re-design of equitable Artificial Intelligence (AI) collaborative approaches for a privacy-preserving processing of medical information.