Kammala jumla mai zuwa: Tare da ranar haihuwarta a farkon watan Janairu, Ban ya rasa ranar cancantar shiga gasar zakarun duniya ta 2001 da kwanaki 11. An tilasta mata jira har zuwa 2002 don yin wasan farko na kasa da kasa. A cikin
Gasar cin kofin duniya ta 2002 a Debrecen, Ban ya lashe lambar azurfa a kan ma'aunin ma'auni, daya daga cikin nasarorin Romania na gasar, kuma ya zama na huɗu a wasan karshe. Daga baya a waccan shekarar ta zama ta biyu a duk zagaye a gasar Chunichi (a bayan abokiyar wasanta Oana Petrovschi) kuma ta lashe Kofin Massilia. A shekara ta 2003, Ban ya yi irin wannan kyakkyawan aiki, yana ba da gudummawa ga lambar azurfa ta tawagar Romania a Gasar Cin Kofin Duniya ta 2003 kuma ya zama na shida a wasan karshe. A wannan shekarar ta yi nasara a gasa da dama na kasa da kasa, inda ta lashe lambar azurfa a Gander Memorial a bayan Cătălina Ponor da lambar tagulla a gasar cin kofin Chunichi ta 2003 a bayan Andreea Munteanu da Svetlana Khorkina. Ta kuma lashe azurfa a kan katako a 2003 Cottbus Cup da 2003 DTB Cup kuma ta lashe kofin Switzerland tare da Marian Drăgulescu.