Kammala jumla mai zuwa: Campomanes ya kasance dan wasa mai karfi na kasa a lokacin da yake da shekaru masu yawa, kuma ya kasance zakara na kasa na Philippine a lokuta biyu (1956, 1960). Ya wakilci kasarsa a gasar Chess Olympiads biyar: Moscow 1956, Munich 1958, Leipzig 1960, da Varna 1962.
Havana a shekara ta 1966. Ya haɗu da wasu 'yan adawa masu ban sha'awa a sakamakon haka, ya rasa wasanni da Pal Benko da Ludek Pachman a Moscow 1956, Oscar Panno a Munich 1958, Mikhail Tal da Miguel Najdorf a Leipzig 1960, da Lev Polugaevsky a Havana 1966.