Italy is probably not testing anywhere near as many people as they optimally should or rather the disease has outpaced their ability to test. Add in a collapsing medical system and the end result isn't pretty. Unless you're on death's door I assume there's little point in someone taking up the system's time to get tested in Italy.
As a comparison, Germany has a <2% fatality rate and has tested more people than Italy.
As a comparison, Germany has a <2% fatality rate and has tested more people than Italy.