Yours is a good question, Rubia. I hope someone has some firsthand experience with this. I haven't looked lately (until now) but don't think there are many true CYBER CAFES which have wireless access. No doubt there are a few out there but I haven't heard of them.
According to the link (found through a Google search) @
http://www.jiwire.com/browse-hotspot-cafe-spain-es-madrid--madrid-2020598.htm the majority of those places with (paid) wireless connections are at the Starbucks cafés - but I wonder if you have a table available to you to work. These listed here are mainly coffee shops and only a few are cyber cafés.
Good luck! Saludos, MadridMan
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