Have no source, only heard the story that in Italy (or Spain, or both) deceased who have not been testet for Covid-19 before their death, are being tested after

Have no source, only heard the story that in Italy (or Spain, or both) deceased who have not been testet for Covid-19 before their death, are being tested afterwards. This is not being done in Germany. Thus the difference in reported deaths from Covid-19. Not sure whether this is true. Would be grateful to get a reference to an actual source to verify or falsify this.