I finally found a kind of "magic" product. It is steel wool soaked in some kind of soap from AJAX
In Spain this product is called "AJAX Brillo"
http://www.colgate.es/products/house...re/pads.shtml#
but I do not seem to find its equivalent in UK (it is for cleaning pans and such)
The best thing is the soap that soaks the steel wool seems to get the burned oil off so easily that you only need to rub very gently. I haven't noticed any scratches on the pipe.
I also managed to make the bash plate clean again without any efford