Italy has a lot of cities that are fairly dense, but not Hong Kong or Singapore dense.
That's why, despite being somewhat smaller than California, it has about 20 million more people.
I'm going to re-assert that Italy has affordable housing because they are in an economic slump. I was frankly not that impressed with their public transit, either, but I didn't spend a lot of time on it.
The public transportation in Italy varies a lot, from North (pretty good) to South (awful in many places). The thing they tend to do well is that it's fairly frequent, so you usually don't have to stress about missing one particular bus or tram.
"Fairly dense" is all you need to vastly improve things in many places. Look at vast swaths of the bay area that are single story detached houses. Mix in some 2/3 story buildings in there, and you'd add a lot of supply without going 'full Hong Kong'.
Also, Milan is about twice as dense as Seattle.
Ok, but I still don't buy your argument. Seattle has a density similar to Rome. San Francisco has a density similar to Milan. Why is Italy cheaper with good public transit? It's clearly not the density, and I don't buy that it's just NIMBY-ism either (though even if so, it's still not density.).
> Also, Milan is about twice as dense as Seattle.
I was looking at the broader urban area. You're right that it is considerably denser if you only look at the 70 square mile administrative area (roughly San Francisco density).
And there's decent public transportation.
I just don't see any relationship between decent public transportation and things being affordable or not. It's much more closely tied to density: without density, public transportation doesn't work as well.
Regardless, if Rome is "spread out", it's not dense. If Rome, being among the densest of Italian cities, not dense, then neither is Italy.