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We study the scenario where dark matter corresponds to a set of pseudo-Goldstone bosons, that we call dark pions, generated by the spontaneous breaking of a symmetry in the dark sector. As a concrete example, we consider an SU(N ) × SU(N ) broken to the diagonal subgroup that remains an exact symmetry that ensures the stability of the dark pions, and allows a novel-interactions involving neutral gauge bosons and 3 dark pions. We study both experimental and theoretical constraints, and show thatdoi:10.5506/aphyspolb.44.2359 fatcat:4r4odoi3mzgpneyz2p4xb3xra4