 Bergkamp akasvika pachinhanho chake mumwaka wa2002-03, achihwina chibodzwa chake che100 cheArsenal vachipesana neOxford United mumutambo wechitatu weFA Cup musi wa4 Ndira 2003. Muligi, Arsenal yakatadza kuchengetedza mukombe kunyangwe ichitungamira nemapoinzi masere munaKurume 2003. Zvisinei, vakakunda FA Cup kwegore rechipiri rakateedzana, vachikunda Southampton mu2003 FA Cup Final. Musi wa20 Chikunguru 2003, Bergkamp akasaina chibvumirano chegore rimwe chete mukirabhu. Mwaka wa2003-04 wakapera panguva yakakwirira yeBergkamp sezvo Arsenal yakadzorera zita religi, ichiva timu yekutanga yeChirungu mumakore anopfuura zana kuti ipfuure nemwaka wese weligi yekumba isina kukundwa. Kurwisana neLeicester City mumutambo wekupedzisira weligi yemushandirapamwe nechikamu chakaenzana pa11, Bergkamp akagadzira mukundi nekupfuura kumukuru Patrick Vieira. Vieira akakomberedza muchengeti wepagedhi ndokupfura. Chikwata ichi, chakanzi The Invincibles hachina kubudirira kuEurope; Arsenal yakarohwa neChelsea mumakwikwi ekupedzisira eChampions League. Bergkamp akazvipira kuArsenal pakupera kwemwaka, achisaina kumwe kuwedzerwa kwechibvumirano chake. 