As I mentioned in my comment, you can apply for an extension at immigration, but because the required documentation is often seen as too cumbersome, many people prefer to just do a border run instead.
You’ll need to do a border bounce every 180 days, but you can re-enter on the same day. Technically, you can also apply for a 180-day extension at immigration, but it requires the same documentation as when you first applied for the visa, so most people prefer to just do the bounce.
The downside is the border bounce every 180 days. The upside is that you have a five-year visa, don’t need to apply for yearly extensions, and everything is fully legitimate.
For accurate information on renewal requirements, it's recommended to consult with your local immigration office and get a hand out of their specific requirements, as procedures may vary slightly between offices.
And it’s called one year extension of stay and you apply on a TM.7 at the immigration.
Ok if it’s multiple re-entry permits you’ll have to wait until the extension expires and do a border bounce. If single re-entry you can do a border bounce a time before your extension expires. If you go by a landborder point I would have used a landborder transport company to do the bounce now.
If you left with a re-entry permit your extension and permission to stay is still valid and you can’t apply for a new visa. You therefore need to enter on your current extension and do a border bounce to get a new 60 days visa exemption when it expires. If you hold a Italian passport you don’t need a 60 days tourist visa as you’re entitled to a 60 days visa exemption. I would have used a professional landborder company for the border bounce. If you didn’t get a re-entry permit before you left, you can apply for a 60 days tourist visa if feels more convenient for you since you’ve already had a long term stay.
You can do both a border run and a visa run. A visa run means going to a nearby country and applying for another visa, while a border run gives you a 60-day visa exemption if you are from one of the 93 nations entitled to it. Personally, I would use a professional border-run company for this.