To add an important point: In both countries, they have detected covid-19 only well after it has spread inside the country. E.g. in Italy it started with one severely ill patient who went to the hospital and got tested positive for covid-19. Then they recursively traced people that person has been in contact with and found over a hundred cases. They still haven't found "patient zero" yet, the first person in that chain who entered Italy with the disease. Before, it has been all in the dark. There are likely many such pools of carriers all over the world. This aspect of covid-19 is its real danger: in many cases the disease is asymptomatic so you don't get a test and keep interacting with people normally, but it's still able to infect others.