Fiore is the setting for the Pokémon Ranger video game. It may be somewhat close to the Sinnoh region, since it was stated in-game that Sinnoh was the closest region to sent the Manaphy Egg during the Manaphy event.
Fiore is a location with mountainous terrain and four settlements located in the cardinal directions of the map. Each settlement represents a season: Ring Town for spring, Wintown for winter, Summerland for summer, and Fall City for fall.
The relationship between humans and Pokémon is substantially different in Fiore than it is in the regions of the main games. In Fiore, there are no trainers that capture and battle. The people that have the most interaction with Pokémon are the Pokemon Rangers. Since the Rangers enforce a strict rule of releasing Pokémon after using their help, Fiore does not host a form of Pokémon competition in the vein of the other regions' Pokémon League. However, they do have capture challenges that are open for Rangers to hone their skills.
Poké Balls are not sold or used in the Fiore Region. People who own Pokémon are encouraged to keep them by their side, outside of Poké Balls at all times, much like Ash's Pikachu. Instead, they use a stylus to capture Pokémon. They do that by drawing loops around the Pokémon.