Posted: Wed Mar 11, 2020 10:13am
I doubt you're doing anything wrong.
They don't these days make many appointments available at any one time, so it's just a matter of persevering and trying at different times of the day. Get up in the morning and fire up the computer whilst you're making a brew.
The alternative is to walk into a cop shop and ask if they can give you an appointment.
Just to confirm the online steps for anyone else who isn't familiar with the system:
https://sede.administracionespublicas.gob.es/icpplus/
Select Alicante as province
Aceptar
As trámite, select POLICIA-ASIGNACIÓN DE NIE
Aceptar
Entrar
Fill in details, including REINO UNIDO as País, and ticking the reCAPTCHA
Aceptar
Solicitar Cita
At the moment it's showing six available offices, against the eight I saw earlier.
If one of them is OK then carry on
Fill in details
Siguiente
See if it offers dates or whether that police station is booked up