I’d assume that the specific type of Visa you are obtaining is only given out once. I can’t see that they will ban you from obtaining any kind of Visa in the future.

What specific Visa are you getting and from where?

I was able to renew annually in Norway 3 times, for a total of 4 years (max). To be eligible for a visa again, I’d have to be a super-duper specialist in super-duper high demand, or wait 5 years. In Denmark, I renewed 2 times for a total of 3 years (max). They type of visa I was on allowed only 3 year max in DK. In The Netherlands, I would have had to renew annually for a max of 5? years. So… it all depends on the country and the specific visa you apply for, and that country’s rules. Since they can change from year to year, it’s best to get the most up to day info from the Italian consular services or embassy website in your home country.

Each country is different, but it is harder and harder for people without highly specialized skills to get into EU countries. The UK was the latest country to clamp down on work, even for highly specialized jobs.