Can global food security be achieved by implementing food sovereignty strategies at different geographical scales? After distinguishing between food autonomy and food sovereignty, we show that the concept of food sovereignty alone does not provide an answer to the problem of inter-scale coherence, since the choices made by some territories could restrict the freedom of choice of others. Several projections make it possible to identify arrival points that are compatible with the objective of global food security, while respecting the limits of planetary resources, climate change and damage to biodiversity, they indicate the implications of respecting these conditions at national or sub-national territorial levels. However, much work remains to be done on the methodology to be adopted to ensure that regional strategies converge towards the same desirable future.