Well, it's definitely Italian. But beyond that you'll never know who made it. You have what I call a "mystery Italian" (no brand, no importers mark, no clear indication of who made it). If you don't know already, "INOX" is short for inoxidable, which is another way of saying stainless steel.
It's difficult for me to tell from the pics, but it's possible that you may have what's often referred to as a "transitional". A "transitional" is an Italian stiletto switchblade made from the very late 1950's through to the early 1970's when the Italian makers were changing their manufacturing methods, including switching from pick locks to the easier to operate swivel-bolster.
Your knife looks to me to be closer to the 1970's than the 1950's. The handles are horn.
Common characteristics of a "transitional" are-
nickel silver bolsters and button (as opposed to steel)
swedge blade (full flat grind with a hint of a false edge)
two-piece spring (but not always)
D-stamped liners (pics below)
It looks to me like your knife has a one-piece spring (the kick spring is the same piece of steel as the backspring/lock). So that's one point against it being a "transitional".
But if your knife has D-stamped liners like in the pics below, then there's a better chance that it's a "transitional". I'd say the bolsters and button would then be the deciding factor- what are they made of. Trying to determine that can be tricky. If they are magnetic, then they are stainless steel (not a "transitional"), but not all stainless steel is magnetic, so there's the problem. The rocker arm of a "transitional" will be steel, so if you apply a magnet to the button, even if it's nickel silver, the steel rocker underneath might still attract the magnet.
Again, a "mystery Italian", which is not at all uncommon. Unfortunately the people who produced such knives, and those who purchased them for resale, didn't always care about recognition or posterity. They just wanted the money.
The blue arrow in the first pic points to one of the D-stamp cutouts in the liner. If you look between the liners of your knife, you should see if the liner has the D stamped cutout.

- d stamp liner.jpg (45.14 KiB) Viewed 4028 times
Here's another view of D-stamped liners showing how they hold the sear/rocker arm in place.

- D stamped liners-sear-rocker.jpg (65.03 KiB) Viewed 4028 times