Goddess of Fate Cup
From Kingdom Hearts Wiki: A world of information not accessible by Gummiship
The Goddess of Fate Cup (運命の女神カップ, Unmei no Megami Kappu?) is an Olympus Coliseum Cup available only in Kingdom Hearts II and Kingdom Hearts II Final Mix. To unlock it, you have to win the first three Cups (Pain and Panic Cup, Cerberus Cup and Titan Cup.) You must also complete the first battle with Xemnas.