Actually Italy counts everyone who dies who has COVID19 as a COVID19 death. This does not include future death by long term after effects but it includes more then what e.g. was included in China, which is part of why the death rate is so much higher in Italy (the other part is in average people are much older in Italy then China).
Also put that in context with the fact that Italy reported that the majority of death is with people which have preexisting conditions/other illnesses.