User blog comment:Plexioth- xD/Monster Hunter 3 Ultimate/@comment-121.220.14.67-20130217074633/@comment-28303251-20130218025300

According to the Wikia, the quest holds 10 Giggis. Anyways I'm not sure, but I think later in the game you'll be able to take quests that involves Giggi along with other monsters. (like Cold Call, or a quest where you fight it and the Baleful at once)