Those are Gov't Proof marks done at the Brescia, Italy Proof Facility.
They are essentially the same for that period as those used by the Gardone, Italy facility except in one instance.
The bottom one in the pic if done at the Gardone Proof Hs would have a very tiny 'V' and a 'T' aside the upper Star on the mark.
Even appearing being double struck here, I don't see evidence of the V/T.
So I will guess the pistol was Proofed at the Bresia, Italy Proof Hs.
Top to Bottom on the markings
--Yr of Proof in Roman Numerals (1960 as S&WChad pointed out)
--- Star/PSF is the Definitive Proof (Final Proof)
-----Star/Shield w/ animal figure (?) is the Provisional Proof.
This pistol was importable to the USA back then. It wasn't till 1968 that it didn't meet the new Points System set up by the STF that it failed to be importable.
The new edition was then made in the USA to bypass the importation issue.
'Import Markings' as most people speak of them now came to be in 1985 or '86. It was then that the GCA68 was updated and MilSurp guns were once again allowed to be imported into the USA.
One addition to the importation regs was that all imported firearms needed to have those 'Import Markings' on them showing Country of origin, caliber and whatever else.
Many guns from the earlier days of the 20th Cent show a small marking of Country of Mfg'r/Origin. A small Spain. Germany. Italy, etc marking on the gun somewhere.
Provisional Proof is a pre-firing inspection of mechanism, lockup, chamber and bbl specs, etc. General safety check.
Sometimes called a 'View Proof' in other Countries.
After Final Proof, the gun is supposed to be rechecked once again to make sure those specs and measurements taken during the Provisional Proof are still in tact or at least with in an acceptable range.
Most guns that actually fail a Govt mandated proof testing fail on the initial Provisional /View Proof and never get to the Proof Firing.
Actual gun KaBooms are extremely rare in that business.
Since the Proofing process is done on the finished product. the stamps and markings are punched into the finish and usually damage and/or upset the surface finish.
True of any Proof Marks no matter where applied by a mfg'r.
Something to look at when examining a firearm and deciding if the gun has been refinished or not.
Marks if orig should be done 'thru' the blue or plating and not be blued or plated over.
But there are plenty of hand stamps around now too, to re-mark stuff,,so you really have to know what you are looking at.
Not much to worry about on a Beretta Minx, but a high grade/high value firearm,,yes.