FBW is Falling Block Works, if that helps.
The Model K action is probably the one you want. Looks sort of like a Winchester 1885, much simpler internals, no automatic cocking.
Getting it into Canada may be a minor PITA. Import costs and time.
There was a small falling block action made in Italy and sold as the Fraser Highlander, by an importer out of the US named Cape Girardeau (spelling?) Outfitters. Neat little action, but has issues with the firing pin tip locking the action up, as the geometry is a bit out of whack.
The EA Brown Co. Model 97 falling block may be worth a look too.
CPA sells a new version of the Stevens 44 1/2 that may be worth a look. It's actually larger than the original, to allow use of cartridges that were considered t have been marginally to large for the original actions.
The Stevens 44 1/2 action is a true falling block, rather than the swinging block that was used on the Model 44, or the Favorite.
Then there are several (OK, one or two, provided the owners have not died) really small operators that are making single shot actions for the Scheutzen crowd.
Personally, I'd love to see a scaled down 1885 action available. Probably not gonna happen.
Most of the suitable actions are either quite old, or made in the US. The Martini and Hagn, being the exception to the latter. The M&H action is very Euro looking. Either you will like it or hate it, but they sure want some coin for it!
Cheers
Trev