A Flamehound attacks Ceodore in the opening of the game, the player must merely survive until the Hooded Man arrives.
In Edge's Tale, a scripted encounter with two Flamehounds occurs when Izayoi rejoins the party. While they hit hard and Izayoi and Tsukinowa have low HP, the player may wish to spend time having Tsukinowa and EdgeSteal and Mug the Flamehounds to get a set of Fire Arrows for Izayoi, the only way they can be obtained in Edge's Tail.
Against all the incarnations of the Flamehound, it is dangerous to leave them alone, as under such circumstances they can use their powerful special attack, Blaze. When with other enemies, it is of no threat.