I know of a few places with schemes to incentive people to move to dying towns, in the regions bordering with Northern Appennini mountains and in the deep South. The catch is that these towns are dying for a reason: they are far from everything, there are no local jobs (or rather, no jobs most people would do - being a farmer in 2018 is unappealing), and the housing stock is often crumbling and centuries-old. The kids go to school in cities and never go back, so you’re left with a bunch of oldies. Do not expect any help from the State, but do expect hindrance, especially in building matters - Italian laws on paper are the best in the world, but in practice, compliance is hell.