We looked into purchasing a house on the Amalfi Coast about 10 years ago. To get anything done you need permits and in order to get permits you need to bribe everyone involved. The permits are time bound and expire so you have to be ready to go when approved but the small towns don't readily have access to construction materials so in order to get materials in the time bound window you end up having to bribe a whole new set of people.
> We looked into purchasing a house on the Amalfi Coast
You really thought it's possible to buy any real estate in a location where rich Germans and Scandinavians pay €1000 for one night in a hotel and moor their €10mln yachts?
I guess you're not too familiar with the region. There are numerous depressed towns with little or no access to transit or services that have many properties selling for very low prices.
There are numerous reasons whey they are derelict despite being located in such a desirable region. It's arrogant to think the reasons will change only because you are giving them a chance.