Abstract The concept of resilience was applied to the public health field to investigate the way health systems are impacted by health crises, what conditions allow them to mitigate the blow and how they reorganize once the crisis is over. In 2020, the COVID-19 pandemic caused by the SARS-CoV-2 virus represented a global challenge demanding immediate response to an unprecedented health crisis. Various voices drew attention to the intensity of the crisis in countries with greater inequalities, where the pandemic converged with other social emergencies. We documented the experiences of health personnel who faced the pandemic at the primary care level while simultaneously maintaining the functioning of other areas of medical care. Our results derived from a qualitative study comprising 103 participants from five states of Mexico. We aimed to show through inferential analysis their perspective on what we call ‘the resilience of local health systems’. We observed three stages of experience during the crisis: (a) Preparation (official guidelines received to organize care, training and planning of epidemiological surveillance); (b) Adaptation (performance of community-based prevention activities, infrastructure modifications, telehealth); and (c) Learning (participatory governance with city councils, business sector and organized population). The study suggests that the local health systems analysed benefited from the initiatives of health personnel that in some cases positively exceeded their duties. In terms of the resilience analysis, they were able to handle the impact of the crisis and cope with it. Their transformative capacity came from the strategies implemented to adapt health services by managing institutional resources. Their experience represents a lesson on the strengthening of the essential functions of health systems and shows a way to address successfully the increasingly complex health challenges of the present and future times.