Integrating AI in remote patient monitoring systems (RPMS) has advanced patient care in the European Union. Still, it raises data compliance challenges under the General Data Protection Regulation (GDPR) due to AI’s need for vast data. In this paper, I examine this conflict with the GDPR principle of data minimisation and posit that the enforcement of the GDPR alongside the EU Artificial Intelligence Act (AIA) will cushion this conflict. I conclude by highlighting that the coming into force of the European Health Data Space (EHDS) will help balance the dilemma between the need to uphold the principle of data minimisation and allow AI-driven scientific progress.