Robredo, who overcame Nicolas Mahut in four sets, says he will treat himself to cake and ice cream before turning his attention to the home favorite.
"I have to congratulate myself because today I did a great job," he told reporters.
"So I'm going to play Andy in two days. Now I prefer to enjoy it, to relax, to go have a great dinner because I deserve it, with a chocolate cake with ice cream. Then tomorrow is going to be a long day to think about Andy."
Elsewhere, former champion Hewitt was ousted in by Dustin Brown 6-4 6-4 6-7 6-2, while there were also wins for Spain's Nicolas Almagro, Austria's Jurgen Melzer and Argentina's Juan Monaco.
Frenchman Tsonga was forced to pull out of his tie with Latvia's Ernests Gulbis after complaining of injury, while Radek Stepanek and Marin Cilic were also big name casualties.