Some brands of shell holders will accept 308 sized brass and 6.5x55. A few years ago I upgraded my shellholders and now use a RCBS #2 or a Redding E-Z #7 for the Swede.
The Redding E-Z #7 will fit my 6.5 SM but I need a Redding E-Z #2 for my 7.5x55 SR. The difference lies not in the rim diameter but the rim thickness.
The RCBS #2 will accept both the Swede and the Swiss cartridges. It's not as tight in its tolerances as the Redding.
One trick if your FLSing die has bottomed out in the press and you still have not pushed the shoulder back enough is to insert a feeler gauge between the case head and the shell holder. Some shell holders will take up to a 5 thou feeler gauge.
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