The difference between parfum and EdP is a slightly lower perfume concentration. It could be great if you're just looking for a small bottle, given its 60-ml volume.
From Life and Looks
Thierry Mugler Alien Goddess EDP 60ml
Slapiton
MUGLER Alien Goddess Eau de Parfum Refillable 60ml
Luxplus
Thierry Mugler Alien Goddess EDP 60 ml