We just returned from a trip to France and Italy and were dumbfounded by the fact - I had never recognized in several trips to Europe - that many Italian two-prong outlets are slightly smaller than French (and Spanish) two-prong plugs - and the handful of Amazon-bought adapters we used in France had prongs too thick to fit into many of the plugs in our Italian Airbnb apartments. Some plugs we noticed had "double circle" overlapping shapes to accept a French-size plug, but most didn't.
Upon further research, it seems we were running into "Type L" sockets, which exist almost exclusively in Italy and Chile, and nowhere else in Europe.
It may be a different case in newer-construction and hotels, than in the older homes we stayed in, but it was bizarre - I've been to Europe half a dozen times and never realized the slight and frustrating difference.
Anyway, this is just to say that even if you have a "Euro" plug adapter, it may still not work in Italy. But there should be no problem buying an Italian-sized one at any convenience store over there (as we ended up doing).