Yup! JoeSambuca's right as usual. There are cybercafes on nearly every city block in the old center of Madrid. The biggies are
easyEverything on Calle Montera, just up from the Puerta del Sol, and
BBIGG , up from Plaza de Canalejas on Calle de Alcalá. But there are dozens of smaller ones too.
Good luck and have fun! Saludos, MadridMan
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