Rubuta ci gaba don wannan sakin layi - An dauki Balinas a matsayin dan wasan Asiya mafi karfi a cikin shekarun 1960 da 1970, kafin fitowar dan uwan Eugenio Torre. Balinas ya lashe gasar zakarun kasa da kasa a Hong Kong, Singapore, Manila, da Odessa, USSR a wannan lokacin. A gasar Olympics ta Chess ta 17 a shekarar 1966
a Havana, Cuba, Balinas ya zira kwallaye 151⁄2 daga cikin wasanni 20 (.775) kuma an ba shi lambar yabo ta azurfa ta mutum, a bayan zinare, tsohon zakaran duniya Mikhail Tal, wanda ya zira kwallaye 11 daga cikin wasanni 13 (.846). A cikin wasannin Meralco "Beat Bobby Fischer" na 1967 a Manila, daga cikin manyan 'yan wasan Filipino 10, Balinas shine kawai masanin ƙasar Philippine na lokacin da ya riƙe zakaran duniya na gaba don yin wasa: