Look at Germany for instance where they perform 500.000 tests par week and their death rate is <<1% the lowest recorded. So it all depends on the number of cases found by testing. Btw Germany and Korea experiences probably help finding the actual death rate of the virus, which is probably lower than said.
This is the same case here in France where we have even less tests than Italy. and the death rate is higher than asian countries but slightly lower than in Italy, although we have the same beds/people ratio.
I believe there is also a demographic factor that doesn't help on top of limited tests, Italy has one of the oldest population in Europe which is already an old continent compared to Asia for instance. That's the problem of living a long life....