Well, it is Fiocchi ammo so maybe the Italianos got a little confused when they labeled that box, or maybe that's what they call it in Rome. It should be just 38 S&W, which is actually a cartridge from the dark ages when they were loaded with black powder.
Here's a pretty good history of the 38 S&W cartridge. The designations are all over the place.
The .38 Smith & Wesson: History And Performance | An Official Journal Of The NRA
And no, it won't fit in a 38 S&W Special chamber. The cartridge case diameter is greater. So the mystery is solved. Just buy some 38 S&W Special ammo and you're GTG.
Amen! Thanks.