Sure, lots of houndsmen in these parts who use hounds to hunt bear and lion, typically shooting their quarry after a lengthy track and chase (as in, can be as long as 24 hours, when you reach a point where you can go no further on horseback, you tie up your horse and keep going on foot, you’ll come back for the horse eventually!).
When there is a rogue bear or lion on public land (as in, has eaten a human), local houndsmen are generally contacted to come in and help find the offending critter.
In fact Lynn Lloyd got her original Walker hounds from local Nevada lion hunters, after her initial pack of English hounds didn’t suit her hunting tastes.
Lynn’s hounds can, and do, hunt anything. The Battle Mountain folks do guided hunting for bear and lion and have separate packs for each, in addition to their foxhounds. In fact one of the old steady hounds in their foxhound pack when I hunted with them was in fact an older hound from their bear pack upon which they relied as an anchor for the younger hounds. He learned his new quarry and never strayed from hunting coyote. Cool hound, he actually had a bit of airedale in him.