The objective of this study is to explore the strengths of indigenous food systems in Latin America within the framework of effective food policies. The analysis is based on the adaptive capacity of human beings, and, in this logic, it considers the food systems of Latin America to be relevant since in the face of challenges, such as climate change and the COVID-19 pandemic, indigenous peoples have been able to establish response strategies. However, beyond these responses, we find a region that has assumed a biopolitical stance with a tendency to design control policies in response to the pandemic. This situation has not improved the inequalities and vulnerabilities of a sector of the indigenous population in Latin America. The aforementioned challenges give a clear picture of the strengths of the region's indigenous people, and knowledge of this interactive dynamic can provide elements for the design of food policies. In this sense, an exhaustive literature review was carried out in order to approach the state of the art of the issue. The analysis was derived from three analytical categories that in synergy and from an open innovation perspective, make a proposal for the design and implementation of effective food policies that allow a region to learn from local indigenous experiences in a context of food insecurity.