Abstract: In this talk I will revisit from a modern bootstrap perspective the longstanding problem of solving QCD in the large N limit. In particular, I will show how one can constrain the effective field theory of massless pions (i.e. the chiral Lagrangian) from very few basic assumptions about the underlying theory. While this is, of course, a program with a long history, we will see how new bounds arise when considering systematically the full set of positivity constraints that follow from 2-to-2 pion scattering. The space of ''healthy'' EFTs shows some features with intriguing connections to hadronic phenomenology, raising the tantalizing possibility that large-N QCD may sit at a special point of the exclusion plots