At the present status of knowledge, gravity is the only portal between the Standard Model and Dark Matter which has been proved by observations. We propose two models in which Dark Matter has only gravitational interactions with the Standard Model particles. The first model is a dark sector consisting of a pure non-abelian gauge theory. After gauge confinement, accidental symmetries of group-theoretical nature result in gravitationally stable bound states which can be produced by gravitational freeze-in. The second model is a gauge theory with a dark quark relic heavier than the confinement scale. During the first order phase transition to confinement, dark quarks remain in the false vacuum and get compressed forming macroscopic relics which undergo gravitational collapse to stable dark dwarfs (gravitational bound states analogous to white dwarfs) near the Chandrasekhar limit, or primordial black holes.
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