A vaguely remember watching this on VHS, but never seeing a part 2. Maybe it was anime, I’m not sure.
As I recall it was mainly about an old man wanting to hunt a notorious bear which had one missing due to an earlier conflict. There was a pup that was raised into a hunting dog. They never got to actually get the bear, and I never saw the continuation. And I think there was child character as well.
There was a scene when the pup was used to lift someone from a pit but holding on to the rope tied around its neck to form a loop around a person.
Also some hunting scene when there was some confusion about who shot a bird.