The bottom line here is that standard ICAO phraseology is not fully appreciated/understood by ATC in some parts of the world. It should be fairly simple..."C/S Tcas RA"...and then "C/S Tcas RA, Clear of conflict, resuming FLxxx". The same goes for an urgency call, or PAN-PAN. In some places an alteration to standard phraseology may be required. A typical scenario when in Spain is that if you expect to dip into final reserve fuel, you declare a PAN-PAN, if this is not appreciated you declare a MAYDAY.
However, I wouldn't necessarily assume that any ATCO down south would understand. So, applying the approach of "if he didn't understand, at least we did the right thing" -kind of attitude, will not do you any good. The basics of communication will always be to make sure the recepient has understood your message. If need be use plain language.