Direct dark matter detectors have greatly increased their experimental sensitivities in the past decades, not only through a considerable increase in their target size, but also by lowering the experimental threshold and extending the analysis to include the possibility that dark matter scatters off electrons and not off nuclei. In this talk I will first present a review of the exciting experimental landscape that this offers, and the many subtleties regarding dark matter properties that we can test. In a second part of the talk, I will show how recent experimental results can set strong constraints on freeze-in models, a production mechanism for dark matter in which it is never in thermal equilibrium. I will discuss how, within these models, a future detection might be useful to determine the reheating temperature of the universe.