The COVID-19 pandemic has sparked the debate on strengthening European-level cooperation and solidarity in tackling the disease. The debate has focused on several questions: Given the common threat to public health, is conferral of more competences upon the EU (1) desirable and (2) feasible? As for desirability: Can the EU better achieve the public health goals than Member States can and is there an added value in increasing EU competences? As for feasibility: Can a competence increase be carried out in practice - given the cross-country differences in the organizational and managerial features of national healthcare systems? Healthcare systems are influenced by the underlying normative aspirations, historic legacies, and level of economic development of the given country. They are characterized by a high degree of government intervention and absorb a significant share of public funds, so no wonder this sector is politically sensitive. So concretely, if more powers are to be conferred upon the EU, what exactly should these powers consist of, bearing in mind the principles of subsidiarity and proportionality?