I just fixed the same problem on my Sunbeam iron.
I found a phillips screw under the steam valve, unscrewed it, and popped off the top part of the handle.
This exposed the steam buttons and little pumps that draw water out for spritz or push air in for steam burst. I saw that the screen leading from the reservoir to the pump-button was clogged with lint. I cleaned it out, reassembled it, and it's now as good as new.
Hopefully the process is similar for your Moulinex.
Consumer Like You, September 2006