I took loaded boxer primed 6.5 X 55 brass and fired it in my MAS 36. I would recommend you lubricate the case, such as bench rest shooters do, when fireforming the case. Bench rest shooters do this to make perfect cases, what the case lubricant will do is that it will prevent the sidewalls from stretching and the case will be perfectly formed to the chamber.
There will be no accuracy when firing 6.5 X 55 brass in a 7.5 X 54 chamber. I was 25 yards away from the berm and bullets aimed at the middle of the berm would hit the bottom, than the top. But the cases were fireformed.
You will need to trim case necks as some of the Swedish case necks were a bit long, but after trimming, these cases will be 100% useable for your French rifle.
It is my opinion that American 6.5 X 55 ammunition has a different case rim width than European. My Swedish surplus ammunition has a wider diameter rim than my American cases. This may cause extraction issues in the MAS 36.