There is a brief mention of the French work on automatic rifles in Général Maitrot's book "Les Armées Française et Allemande: Leur artillerie, leur fusil, leur matériel : comparaison". It was published in January 1914 and provides a fascinating insight into what the French knew about the German Army just prior to the war.
With regards to automatic rifles, Maitrot wrote the following:
'Moreover, the automatic rifle, of which there are models in France and Germany, has so far been a disappointment: it is not very robust, has a delicate mechanism and may even be dangerous because of the high temperatures of the barrel, which may cause the pressure to increase up to 5000 kilograms per centimetre instead of the normal figure of 4,000.
Therefore we should stick to our Lebel and conclude with these words of wisdom spoken by the Minister of War from the rostrum of the House in the June 18  meeting: "I want to say that, with respect to the present state of our weaponry, I do not think it is necessary to make a change. But it must be understood that if any great military nation started manufacturing an automatic weapon, we would not allow our military to fall behind." '
Slight digression, but with France at the forefront of automatic rifle development heading into the Great War, what happened in the inter-war years that turned them off the concept and saw the Americans as the only nation heading into WW2 with a standardised semi-automatic infantry side arm? All tied in to the Maginot mentality and the general lack of investment in militaru technology amongst the former European Allies? Or did they never master the technological shortcomings sufficiently to make it viable? I recall seeing the Frankinstein creations that were trialled with the SMLE to produce a self-loading capability; not an act of war!