Rubuta ci gaba don wannan sakin layi - Tare da Uruguay, Rodríguez ya kasance mai halarta a gasar cin kofin duniya ta 2002 kuma ya zira kwallaye na farko na Uruguay a gasar, wanda ya yi birgima a kusurwar hagu na ƙofar. Ya sanya kambin kyaftin din Uruguay. Ya kuma taka leda a gasar 2004
da kuma 2007 Copa América gasa.