At the beginning of WWII, the official Czech military pistol was the Vz.38, a blowback, DAO pistol in 9mm Browning Short (.380 ACP), although many Czech units were still armed with the rotating barrel Vz.22 and Vz.24 pistols, also in 9mm BS. The 7.65mm (.32 ACP) CZ Model 27, a simplified, blowback version of the Vz.24, was also used, but the 9mm BS was the standard Czech pistol caliber.
The Model 27 was produced in large quantities for the Germans, since 7.65 Browning was a standard German pistol caliber, where the 9mm BS (or "9mm Kurz" in German terminology) was not. The Germans did use the 9mm BS Czech pistols, but did not have any made for them. Production of the Vz.38 was not continued by the Germans, although a somewhat updated version was produced starting in 1947.
(The Czech Vz.38 is sometimes called the "Czech P.38" although the Germans called it the P.39(t), the "t" standing for Tschechoslovakie, the German spelling of Czechoslovakia.)
Jim