I have a STAR Super Modelo in 9mm Bergmann-Bayard, it is in nice shape but the old grips needed some help. I ordered a pair of replacement grips from Gun Grip Guys
I ordered the Leopardwood Grips. They fit well and look great....
Your Star is nice. I purchased one of the last production Star BMs about twenty years ago. It appears to be a compact version of what you have. It shoots flawlessly with 9mm military ball, or South African hollow points that had wax in their cavities; I can’t remember the brand name of the ammo. It's fairly accurate out to 20-25 yards. I wish I could find another “factory” magazine. The Triple K mag I ordered was a disappointment.
Modern name - 9mm Largo. Google it up - it is available in three varieties of Spanish surplus, by the case.
CCI once made a run of aluminum-cased Blaser ammo in 9mm Largo - but it hasn't been produced in awhile. Wish they'd do it again - my Star Super liked it fine.
Similar but not the same. They're both 9mm, and have a similar case length, however the .38 Super is a semi-rimmed cartridge that headspaces on the rim, the 9mm Largo is a rimless that headspaces on the case mouth. Also, for factory loadings, the .38 Super is a hotter, higher pressure round.
That said, many guns built for one or the other have successfully been used with both. Spanish "Destroyer" carbines were originally built for the Largo, but some were marked, and marketed, for .38 Super with no apparent changes. Magazine and chamber dimensions are loose enough, in a lot of cases, that either will function. But, unless you are a gunsmith who knows how to safely alter the weapon, you should always stick with the ammo the weapon was built for.
.38 Super has a case length of .90 inches, diameter of .383 and rim of .405.
9mm Largo is .91 inches, .390 and .392.
As you can see quite close, except for the larger rim of the .38 Super. Some shooters with 9mm Largo and Bergman Bayard guns alter them to accept the .38 Super cases and reload to 9mm specs. This gives them a readily available cartridge case that is stronger than most original Largo/Bergman Bayard brass (also Boxer rather than Berdan primed, as some surplus 9mm is). Reloading also allows use of high performance bullets.