Is very popular in the US for putting on small cuts and scrapes. I first found out about it when I got my ears pierced. But a note must be said that it is an antibiotic and there is always a risk of get a strain of bacterium that is resistant to antibiotics with lots of use of antibiotics.
That said if you are looking for Neosporin in Italy it is called Streptosil. The ingredients in Neosporin is Neomycin Sulfate. The main ingrediant in Streptosil isSulfatiazolo + Neomicina, So Streptosil is Neosporin. You an get the ointment here in the pharmacies by asking for Streptosil Unguento.
Now if you do not need an antibiotic form of ointment for a wound you can use Aquaphor for wound healing. It’s ingredients are: Mineral Oil, Ceresin, Lanolin Alcohol, Panthenol, Glycerin, Bisabolol