radio license does not have to be from same country issuing pilot license.
It just must be a radio license ICAO recognized or at least recognized in the country where you plan to use it.
in USA the pilot license suffice for the radio license bust as soon as you cross the USA border you must have a radio license. the USA FCC will give you the radio license on the basis of your faa license, all you need is a form and a fee, with no training and exam because if you passed you pilot check ride you must have demonstrated proper radio use e phraseology.