I'm in Canada, and it seems like all bike multi-tool brands are American. I thought Lezyne was from Europe, but nope, American.

Park tool, crankbrothers, Silca, Blackburn... All American.

Are there any European made, or even European brands of multitools for bikes?

I think Topeak might be a European brand, so that could work.

EDIT: Found one! Unior has an entire line of regular tools, and bike tools. Made in Europe (EU) and I can get them in Canada. https://uniortools.com/eng/category/940477/multitools

EDIT 2: wow, they really make everything! They could easily replace all Park Tool tools. I wish I found this brand sooner!