Look the link below, everything is crystal clear : export permit and import permit are mandatory, so is re-export permit (travelling).
Species in appendix I and II can't be traded withouts those permits, while there are some flexibilities for personal "items" in appendix III.
Even if you trade inside the EEC, these permits are theorically mandatory, especially for apendix I species, you could be asked for them, think twice before selling your bass with a Brazilian rosewood fretboard (appendix I, under FLORA (PLANTS), Dabergia nigra)...
It's not that complicated, but both parties have to provide their own permit, which can take some time on the buyer side : call your local customs and they'll explain you how it works and provide all the necessary documents.
Here is the link to the official CITES documents and you better know latin : https://www.cites.org/eng/disc/text.php