Kammala jumla mai zuwa: A cikin kakar wasa ta 2003/04 ne Carvalho ya yi suna a matsayin dan wasan kwallon kafa na duniya. Ayyukansa masu kyau sun taimaka wa kulob din ya lashe kofin gasar Portuguese a shekara ta biyu a jere, da kuma babbar gasar cin kofin kwallon kafa ta Turai, UEFA Champions League. A wannan gasar, Carvalho ya buga a duk wasannin Porto, gami da nasara 3-0 a kan Monaco a wasan karshe. Daga baya, manyan wasanninsa sun cancanci lambar yabo ta UEFA Club Mafi Kyawun Defender na Shekara, wanda aka zaɓa a cikin UEFA Team of the Year, kuma an sanya shi ɗaya daga cikin 'yan wasan 50 da aka zaɓa don Ballon d'Or na 2004), wanda ya gama na tara a cikin jefa kuri'a, shi ne kawai mai kare a cikin manyan goma. An zaɓe shi ne don Portuguese
UEFA Euro 2004 tawagar, a cikin wannan gasa shi ma aka zabi ga UEFA Euro Team na gasar. A ƙarshen kakar wasa, Carvalho ya kasance mai bin diddigin manyan kungiyoyin Turai, gami da Internazionale, Barcelona, Real Madrid da Manchester United. Real Madrid ta ba da Euro miliyan 8.2 (£ 7) don Carvalho, amma Porto ta gargadi 'yan Spain cewa ba za su yarda da ƙasa da Euro miliyan 23.5 (£ 20) don mai tsaron baya ba bayan ƙungiyar Spain ta ba da ƙaramar tayin. Bayan 'yan kwanaki, kungiyar Chelsea ta Ingila ta bayar da Yuro miliyan 30 (£ 25.5) don cibiyar tsakiya, wanda kungiyar Portugal ta karba.