From time to time, I have read posts on the Forum from people who are considering moving to Europe for their retirement, often Italy.
Of course, there are all sorts of serious issues to be dealt with .... taxes, medical insurance, etc. Or maybe just having a second home for your couple-of-times a year trips to Italy. But, if you are seriously interested:
Grab a copy of today's (12/11/19) "The Wall Street Journal," as there is article about how a few small, rural towns in Italy have had auctions (and some will continue to have auctions) on abandoned homes with bidding that starts at E1. The commitment is that buyers must commit to restoring/improving the abandoned homes. In Sambuca in Sicily within weeks, more than 100,000 people inquired, mostly from the US.
Definitely a worth-reading topic, if you are serious about putting that dream into action, provided a relatively remote location with an otherwise declining population does not scare you off. No mention of whether this would or would not help someone obtain paperwork to actually live there permanently or ultimately become a dual citizen.
But, wait, wait....... there is more: The article mentions that the region of Molise recently offered a stipend of E700 a month for three years to anyone (Italian or otherwise) who settles in its underpopulated villages.
The title of the article is: "Italian Idylls Come Cheap These Days," with the sub-headline of "Bids start at E1 for rural homes; Americans move in" written by Griovanni Legorano.
My husband popped by dream balloon very quickly when he countered with: How would this be any different from moving to a very rural community in (insert any US state), with no hospital, a declining economy, and on top of that, you would know no one and would have a whole new system (governmental) to learn.... and blah blah blah..........?
Yep.....all that and a WHOLE LOT more.....but one can dream (or bid). Of course, once one invests in said restoration of the home, it would be a toss-up if the home would appreciate in value or languish on the market, if one decided to (or needed to) later sell.