Thanks for your reply and help, Francisco.
I don't know if it can be Pastiliére - if i recall correctly, it seems to try and produce two crops (i was under the impression that Pastiliére was unifere - correct me if i am wrong). Nevertheless, i have to confirm the two crops data. I will try to see if i can find old photos of the tree. Last year i pruned it quite drastically and this year i was so concentrated in grafting that i can't, for sure, reaffirm it had figs developing in May-June - although i think it had.
Also, i seriously doubt that the local nursery, where it was bought, has ever had that type of fig for sale. Not even one french variety is sold over here.
The tree is about 6 years old and the figs dry up and drop always with the same size regardless of weather and this happens year after year (and over here the medium temperature during summer months is not very cold, about 22-24 ºC (72-75 ºF), more on some years, like know - really frustrating.
I always thought it should be a problem regarding lack of pollination - it seems i have to investigate further. I will leave some branches alone and see what happens in the future.
Thanks again,
Jaime