  We propose a novel mechanism in composite models that provides
self-interacting dark matter along with the Higgs itself as composite
particles, alleviating the Standard Model naturalness problem and explaining
small-scale discrepancies such as the core-cusp and "too big to fail" problems.
These dark matter candidates are stable due to global U(1) symmetries of the
composite dynamics and their strong self-interactions are created by the novel
mechanism based on top-quark partial compositeness. The relic density of the
dark matter candidates is particle anti-particle symmetric and due to thermal
freeze-out. We implement this mechanism in a four-dimensional gauge theory with
a minimal number of fermions charged under a new confining gauge group
$G_{\text{HC}} $.
