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Yes it's an ADSL connection. The router is a technicolor 582 from my previous provider
That should work on ADSL unless its faulty. When yo said that you thought there was some form of broadband signal on the line, how did you determine that, are you sure that it wasn`t just line noise?
That could just be noise on the line, either due to an unbalanced line, or crosstalk from another circuit. Can you hear anything on a phone if you plug one in?
It probably just the router picking up signals on the line which are outside of the audible range, and trying to establish a handshake.
The ADSL2 frequency spectrum runs from 25KHz to about 2.2MHz, so there is likely to be some noise there.