Nekuzvarwa kwake mukutanga kwaNdira, Ban akatadza kupinda mumakwikwi eWorld Championships muna 2001 nemazuva gumi nerimwe. Akamanikidzwa kumirira kusvika 2002 kuti aite mutambo wake wepasi rose wekutanga. PaMakwikwi Enyika a2002
MuDebrecen, Ban akahwina menduru yesirivheri pabhenji, imwe yekukunda kweRomania chete kwemakwikwi, uye akaiswa pachinhanho chechina mumakwikwi ekupedzisira. Gare gare gore iroro akaisa wechipiri kumativi ose paChunichi Cup (shure kwechikwata chake Oana Petrovschi) uye akakunda Massilia Cup. Muna 2003, Ban akaita zvakafanana, achibatsira timu yeRomania kuwana menduru yesirivheri paWorld Championships muna 2003 uye akazowana nzvimbo yechitanhatu mumakwikwi ekupedzisira. Gore iroro akabudirira kukwikwidza mumakwikwi akati wandei epasi rese, kuhwina menduru yesirivheri yese paGander Memorial kuseri kwaCătălina Ponor uye menduru yebronze yese pa2003 Chunichi mukombe kuseri kwaAndreea Munteanu naSvetlana Khorkina. Akakundawo sirivha pamutsara pa2003 Cottbus Cup uye 2003 DTB Cup uye akakunda mukombe weSwitzerland pamwe chete naMarian Drăgulescu.