Kammala jumlar da ke gaba: An fara kiran wannan ƙungiyar ta ƙasa ko dai "Kungiyar kwallon kafa ta ruwa ta Yugoslavia ta maza", ko kuma "FR Yugoslavia ta maza ta wasan kwallon kafa ta ruwa", daga 1992 zuwa 2003, bayan sunan ƙasar a lokacin. A shekara ta 2003, bayan da aka sake sunan kasar daga FR Yugoslavia zuwa Serbia da Montenegro, an kuma sake sunan kungiyar zuwa "Serbia da Montenegro maza 'yan wasan kwallon ruwa". Bayan da Serbia da Montenegro suka rabu, a cikin 2006, kuma suka zama ƙasashe masu zaman kansu na Serbia da Montenegro, kowannensu ya kafa ƙungiyoyin ƙasashensu na gaba. Farkon fitowar tawagar 'yan wasan kwallon ruwa ta kasar Serbia a wata babbar gasa ta kasa da kasa ya kasance a gasar
Gasar Turai ta 2006. Yayin da bayyanar farko ta tawagar kwallon ruwa ta maza ta Montenegro a wata babbar gasa ta kasa da kasa ita ce a gasar cin kofin duniya ta FINA ta 2007.