 He was nominated for a GRAMMY Award in 2012 for his album Flamenco Sketches on the Blue Note label.Domínguez began his career in the progressive rock group CAI before moving on to jazz.They recorded three LPs from 1978 to 1980, "Mas Alla de Nuestras Mentes Diminutas", "Noche Abierta" and "Cancion de Primavera" for the Columbia label.