This has happened to me, on another French brand of pedal, ATOM. At first, I did the same as you: I rebuilt it, only to have the clicking return a couple of weeks later. The solution was to adjust the cone tension slightly higher than I normally would. By this I mean tensioned enough to feel just the slightest bit of roughness as the quill rotates. This has eliminated the problem. I've ridden that bike almost daily for the past year and the clicking hasn't returned.

I think the problem might have to do with low precision races to begin with.