Well, while searching for similar sheaths to make some comparisons,  I did found something very interesting, namely the first picture below.  Sadly, I wasn't able to find its source or anymore information about it  besides the file name ("mandingo short sword old african dagger antique  knife"), but I think this is still a very interesting find for several  reasons.
First, and even without seeing the  blade, it is a way closer match to my knife than any faca de ponta I've  seen before : the handle is very similar in shape, seems to be entirely  made out of bronze/brass, and with the same central turned, dark wood  insert ; at first I even thought it was an old picture of my knife  before noticing some slight differences. Second very interesting point :  the sheath, which is also in a very distinctive african fashion,  similar to what can be seen on some Mandingo/Malian knives.
It's not much, but it is definitely adding weight to Tim Simmons theory, and I would love if he could tell me more about it.
Kronckew :
This  lot was sold by a private seller, not a dealer, and considering the  comparable state of all of the knives, I'm led to believe that the lot  wasn't created yesterday, but I might be wrong. Regarding the sheath, I  don't think the loops were added later : the leather is similar to what  was used on the rest of the sheath and shows similar wear, it is also a  very common fastening method on african knives (see examples below) ;  also, the embroidered motives made out of thin leather strips reminds me  of what can be found on some Mandingo knives sheaths.
Detlef :
I also have a picture with the knives out of their sheaths, but I don't think the knife to the right of mine is a faca de ponta.
Anyway, thanks a lot to all of you for your help and suggestions, this is very interesting !