When you say '0.318 bore', what are you referring to?
Both the original 7.9X57 I (often referred to as 'J') and the later (1905 on) 7.92X57 IS (or 'JS') share a common bore as defined by the bore (land to land) diameter which IIRC is 0.312" or similar. (Hence the 7.9 / 7.92mm calibre designations which equate to just under 0.312" using the common European convention of naming cartridges after their bore diameters rather than the US one of bullet / barrel groove diameters.)
The 7.9 I version uses 0.318" groove diameter, while the IS was enlarged to 0.323", originally by reboring the grooves only in existing 'I' form G1898 rifles in 1905, then by manufacturing all subsequent barrels to the 'S' form. Rebored military G98s had the letter S engraved on the front receiver ring when the modified barrel was refitted so there was no confusion about whether they could handle IS spec cartridges.
Both use bullet diameters to suit the groove diameter, ie 0.318/9 for the original ('I') version; 0.323 for the later 'IS'. The latter also used a lighter pointed bullet and was loaded to a much higher pressure.
What is the rifle? If military, the model should determine its barrel dimensions, although some M1888 ('Commission') rifles which were all originally built for the 7.9X57 I have been rebarreled / rebored to suit the later cartridge with larger broove diameter dimensions. Even so, the G1888 has a much weaker Mannlicher designed action than the later Mauser designed model 1898 receiver, and although such a modified rifle is fine with ammunition loaded with 0.323" dia. bullets, is a decidedly 'iffy' pairing to a full-pressure 55,000 psi IS model cartridge.
Many Portuguese M1904 6.5X59P military rifles were adapted to 7.92X57 IS in the late 30s when that country adopted the cartridge and purchased KAR98k rifles from Nazi Germany. This was done by shortening, setting back, rechambering, and reboring the 6.5 calibre barrels to full later 'IS' spec to handle the very potent 198gn bullet sS version of the 7.92 (schwerer Spitzgeschoss or heavy pointed bullet). Although also a Mannlicher based receiver design, these rifles happily handle full 7.92X57 IS pressures (but like the KAR98k, produce a nasty 'kick' from it). All FN manufacture, likewise Czech and Yugoslav manufactured military Mausers are 7.92X57 IS irrespective of the countries they were sold to.
The exception to the post-1905 rule can be German originating gunsmith built sporting rifles dating from before WW2, many surviving and some ending up in the US and British Commonwealth as wartime souvenirs from WW2. For some reason, many gunsmiths preferred the 'I' bore form and specified barrels with 0.318" groove diameter. Many are built on the lighter, but weaker small-ring M1893 Mauser action too, presumably for the weight saving.