I have never heard of an FR-6. Only the FR-7 and the FR-8.
The FR-7's action is exactly the same as the 7mm conversions (Model 1916) since that is what they are made from. These are small ring Model 1893 actions and the Model 1916 designation was for the standardization of the worn out, 7mm "long rifles" into the "Short Rifle" (Mosqueton) configuration. It was later that these rifles were converted to 7.62 NATO not CETME. Here is their manual and it even says 7.62 NATO, Converted from 7mm (Transformado de 7mm). The CETME ammo thing is a myth. The, so called, low pressure CETME ammo was only used in the first prototype CETME rifles and the final issued version was made to shoot 7.62x51 NATO. This ammo had nothing to do with the M1916 conversions to 7.62 or the FR-7 and FR-8 program.
Original Model 1893 Spanish Mauser:
M1916 Short Rifle (1893 action):
FR-7 built on M1893 action:
The FR-8 was made using the 8mm Model 1943 Spanish Mauser and used an M1898 Action. Much stronger.
Original Model 1943 Spanish Mauser:
FR-8 built on Spanish Model 43 (1898) action:
Since these rifles were made to simulate the final accepted version of the CETME (7.62 NATO not CETME cartridge) the FR-7's and FR-8's were simply stop gap training rifles issued to recruits for training with sight picture, bayonet practice, etc.
If yours is a Spanish small ring (in 7.62) it would either be a M1916 conversion or an FR-7. I have shot .308 and 7.62 NATO ammo in these rifles for years without so much as a hiccup.
Here is an article from Guns and Ammo that you guys may find interesting. SAAMI max for .308 is 55,200 PSI not CUP and these rifles tested to 98,000 PSI. Hmmmmmmmmmm?
Be well and OP, as with all surplus rifles, get it checked by a competent gunsmith.
Al