The invention relates to novel cyclodecapeptide compounds having formula (I) for use as drugs and, more specifically, for use in the diagnosis, prevention and/or treatment of neurodegenerative diseases, such as Wilsons disease and Alzheimers disease, and for use in the diagnosis, prevention and/or treatment of poisoning with metal ions, such as copper and mercury ions. The invention also relates to pharmaceutical compositions comprising at least one compound having formula (I) as an active principle.