ContextApproaches to priority‐setting for scarce resources have shifted to public deliberation as trade‐offs become more difficult. We report results of a qualitative analysis of public deliberation in Switzerland, a country with high health‐care costs, an individual health insurance mandate and a strong tradition of direct democracy with frequent votes related to health care.MethodsWe adapted the Choosing Healthplans All Together (CHAT) tool, an exercise developed to transform complex health‐care allocation decisions into easily understandable choices, for use in Switzerland. We conducted focus groups in twelve Swiss cities, recruiting from a range of socio‐economic backgrounds in the three language regions.FindingsParticipants developed strategic arguments based on the importance of basic coverage for all, and of cost‐benefit evaluation. They also expressed arguments relying on a principle of solidarity, in particular the importance of protection for vulnerable groups, and on the importance of medical care. They struggled with the place of personal responsibility in coverage decisions. In commenting on the exercise, participants found the degree of consensus despite differing opinions surprising and valuable.ConclusionThe Swiss population is particularly attentive to the costs of health care and means of reducing these costs. Swiss citizens are capable of making trade‐offs and setting priorities for complex health issues.