Finally, I have one image of the referenced spanish flammard rapier-like swords. It has a straight blade with curved edges, and it was meant as a combat weapon. Please see this example:
http://www.flg.es/ficha.asp?ID=7262
I just culdnīt find it before, as it was saved on my PC without reference to the form of the blade, and the name-tag on the catalog also does not specify this point.
Regards
Gonzalo