It sounds like you may have gotten a .357/9mm convertible without the .357 cylinder. The .357 mag cylinder would allow use of .357 Mag. and .38 spl. rounds.
As far as rechambering goes, I think I'd shoot the gun first, just to see if it is an exception to the rule. Otherwise, you might consider getting it converted to .38 Super, 9x23 Winchester, 9mm Largo, .38 Spl., .357 Mag., or some other cartridge that has a similar bullet diameter, but is longer than 9x19mm.