The model 1895 Müller automatic pistol is an interesting and unusual design, despite being a simple blowback action. Where most pistols have a bolt or slide that moved directly rearward, the Müller pushes the bolt in a semicircular arc into its grip. This is similar to the Swedish Hamilton trials pistol that would come a few years later, and somewhat akin to the much more recent Kriss Vector design.
I was unable to find any reference to the Müller in any trials documents, so I don't know if it was a competitor in any of the European military handgun competitions. For that matter, I'm not sure exactly what cartridge it used, beyond the 7.5mm bore diameter.
Swedish Hamilton pistol: https://www.full30.com/video/763a4d149b8fc550439cd5f11b93fa8c