Buuxi weedha soo socota: Bishii Agoosto 2006, Rodríguez wuxuu ku guuleystay billad dahab ah 2006 FIBA World Championship, isagoo la ciyaaraya ragga da'da weyn ee Spain. Waxa uu sidoo kale ku guuleystay billaddii lacagta ahayd ee xulka qaranka Spain ee EuroBasket 2007. Sanadkii 2012, wuxuu ku guuleystay billad qalin ah ciyaarihii Olombikada ee xagaaga ee London. Sanadkii 2016, wuxuu ku guuleystay billad naxaas ah
Ciyaaraha Olombikada ee xagaaga ee Rio de Janeiro.