i would choose drop-forging
hope it helps

deux termes du domaine de la métallurgie

on retrouve aussi Die hobbing press mais ce terme est plutôt utilisé dans le domaine des matières plastique

Sounds like more than one press and which could include:

a first press to emboss or stamp a shape on the top of the flans (style Mickey Mouse, Pluto, Minnie, etc.

a second press to affix the plastic or metal protection (the kind you peel off a yogurt container).

Just a guess but hope it helps.