It could be the same one. Vallo does that. Brings objects from home and puts them in the path of their owners.
I don't need it to be something of his. That doesn't do much good. I've done curse breaking before, but the Satan from my world and the Satan from your world is probably different. If it was my world I'd be very confident we could break it with time. But I don't know the magic of your world and how it works. So making it tangible could help destroy it.