 Nyorai kuenderera mberi kweiyi ndima - Mushure mekuratidzira kunoshamisa muChampions League, Carew akatamira kuSpanish kirabhu Valencia mune 8.5 mamirioni ekuchinjisa, kwaakakwanisa kuhwina mukombe weLa Liga kaviri. Carew aive chikamu chechikwata cheValencia chakarasikirwa nemapeneti mu2001 UEFA Champions League Final, kunyange zvazvo akawana muedzo wake wokuranga. Zvinangwa zvake mumushandirapamwe zvaive zvakakosha, kusanganisira musoro wemaminetsi makumi manomwe nemashanu mukukunda 10 kumba vachipesana neArsenal mumutambo wechipiri wequarter-fainari, iyo yakaona Valencia ichipfuura kuenda kuma semi-fainari. Mumakwikwi e2002-03 Champions League, Carew aive zvakare nemhosva yekubuda kweArsenal mumakwikwi aya. NaValencia vachida kukunda mumutambo wavo wekupedzisira wechikamu chechipiri cheboka pamba vachipesana neArsenal kuti vafambire mberi kumaquarter fainari, Carew akarova kaviri mukukunda 2-1. Akabva apedza mwaka wa2003-04 akweretwa kuItaly side Roma uko akahwina zvibodzwa 7 mumitambo 26. 