You can work remotely - could be sweet to work for Meta or other FAANG and live in Italy. Jobs are portable now.
Jobs are portable, but not taxation and social security contributions :) :)
If you live there for more than 6 months (or have strong relations with the country, even if you spend less months there) you must pay taxes in Italy.
As a self-employed IT worker you have to pay (https://it.wikipedia.org/wiki/Gestione_separata_INPS ) 25.72% of social security which goes into the "gestione separata" (a fund that is well known to be crap, so don't expect anything back) and of course you have no benefit at all from paying this.
Then add income tax, which is another around another 25% (there can be some discount here, for the first years... but it is not that clear as usual in Italy)
So you 'loose' about 50% of your gross income: nothing attractive to me from this side.
As the other poster said, you also need to learn the language, and sometimes (if you really want to integrate and also depending on the region) the local dialect. (Note that the 'dialect' can be, like, French in the case of Aosta)