Robredo began playing tennis regularly when he was five and his family moved to Olot, where his father Ángel became the director of the local tennis club, Club Natació Olot.
Robredo je tenis počeo trenirati u dobi od pet godina kada se cijela obitelj preselila u grad Olot gdje je njegov otac Ángel postao direktor lokalnog teniskog kluba Club Natació Olot.