Rubuta ci gaba don wannan sakin layi - A gasar wasannin Chess Olympiad ta 39 da aka gudanar a Khanty-Mansiysk a shekarar 2010, Torre ya jagoranci kwamitin 4 na Philippines kuma ya buga wasanni 7 inda ya ci maki 41⁄2 tare da nasara 3, 3 ya yi wasa da 1 rashin nasara tare da kimar aikinsa na 2460 wanda ya kasance inuwa a kasa da kimar Elo na 2489. A cikin 2012, Torre ya halarci rikodin wasan Olympiad na 21 a gasar Olympiad ta Chess ta 40
karya dangantaka da Lajos Portisch da aka gudanar a Istanbul, Turkiyya. Shi ne ya jagoranci kwamitin 3 a wannan gasar Olympics. Ya zira kwallaye 31⁄2 a wasanni 7 a kan karfin nasara 2, 3 da kuma 2 da aka yi. Ya yi rikodin babban aikin wasan kwaikwayon na 2611 a cikin wannan Olympiad, wanda ya fi na 2469 Elo rating. A cikin 2014, Torre ya sake jagorantar Board 3 don Team Philippines a cikin 2014 Tromso Olympiad don rikodin rikodin sa na 22 a cikin wannan gasar. Ya zira kwallaye 5 da rabi a wasanni 9 inda ya ci nasara 3, 5 ya yi daidai da rashin nasara. Ya yi rikodin ƙimar wasan kwaikwayon na 2527 kuma ya sami maki 9.9 Elo a cikin Olympiad da aka ambata. Matsayin sa na Elo a lokacin ya kai 2438.