Hi, French SLF here.
Media outlets cite "France 3" (TV station) and "Le Parisien" (newspaper) as the original posters of these new "findings".
Le Parisien's article :
Vol d?Egyptair : l?Airbus A 320 avait émis trois alertes lors des vols précédents
They don't talk about emergency landings, but rather about "alert messages" related to smoke detectors happening each time at take-off from Asmara, Tunis and Cairo, and not triggering any kind of emergency procedure from the crew.
They also state that the relations between French and Egyptian investigators seem to be "bad to say the least".
They phrase everything beginning with "according to our sources", without citing any, so take it as you will.