We are going down to madrid next weekend, but we have a small problem, we don`t have any car, so is it any train/metro going directly from Barajas to Fuenlabrada?
We've found that the metro is cheap and very simple to use.
Have a look at the metro map link below.
Get on at LINE 8 - Barajas (top right),
jump onto LINE 10 - Nuevos Ministerios,
jump onto LINE 12 - Puerta del Sur and then going clockwise on that route get of a station Parque de los Estados which is less then a mile away from the site.