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
Ciyaaraha Olombikada ee London. Sanadkii 2016, wuxuu ku guuleystay billad naxaas ah Ciyaaraha Olombikada Xagaaga ee Rio de Janeiro.