In this talk I will discuss several working models for producing dark matter (DM), which require no couplings between the visible sector and DM besides (classical) gravity. In particular, I will show that contrary to common wisdom the current observational bounds do not substantially limit the parameter space nor cosmological history, but rather that gravitational particle production can quite naturally lead to a DM abundance in agreement with observations. Based on arXiv:1808.08236 and arXiv:(to be uploaded…).