In a tournament in Manila in 1976, Torre was then the only one to beat the then-reigning World Champion Anatoly Karpov in a game that has become part of Filipino chess history.

[3] In the 1971 edition held in Athens, Greece in July–August, a record forty-four players from forty-three countries participated in six preliminary groups.

It was supposed to be a six-game match but after Torre opened up an unassailable two-point lead (3.5–1.5) with 2 wins and 3 draws, the 6th and last game was not played.

[6] In 1972/1973, Torre tied for 1st place with Hungarian GM Levente Lengyel and International Master Ljuben Popow, also known as Luben Popov of Bulgaria, in the Reggio Emilia series known as the Torneo di Capodanno with a score of 7/11.

In the summer of 1976, three grandmasters traveled to Manila, Philippines to participate in the Marlboro-Loyola Kings Challenge chess tournament.

They were (in order by Elo): World Champion Anatoly Karpov (2695) from the Soviet Union, Ljubomir Ljubojević (2620) from Yugoslavia, and Walter Browne (2585) from the United States.

The final standings and crosstable are as follows: Later in the same year 1976, Torre topped the 2nd Asian Masters held from 23 August to 10 September at Jakarta, Indonesia.

[12] At the 1st Burroughs Computers Grandmaster Tournament held on April 5–19, 1978, Torre copped second-place finishing with a score of 8/12 on the strength of 6 wins, 4 draws and 2 losses just behind winner Miguel Quinteros.

[13] In 1979, Torre topped the 7th Marlboro Classic, a 14-man tournament held in Manila in January 1979 finishing clear first, a point ahead of GM Fridrik Olafsson of Iceland and 2 points ahead of top seed Josif Dorfman, a Soviet-French Grandmaster, with a score of 10/13.

[14] Also in 1979, Torre tied for 1st place in the 2nd Asian GMs Circuit 1st Leg held in Jakarta from 26 May to 6 June alongside Dorfman and GM Yuri Averbakh all with 6.5/11 recording 5 wins, 3 draws and 2 losses.

In 1984, Torre was selected to play in the second USSR vs. the Rest of the World competition billed as the Match of the Century of 1984 held in London, England.

He was among the team's high scorers only eclipsed by Korchnoi, Ribli and GM Anthony John Miles who all ended up with 2.5/4 but in terms of winning percentage was the high scorer with 66.7%[20] Torre finished in a tie for 3rd at the 1986 Brussels SWIFT Tournament, a Category 13 event held in April 1986, alongside Timman and Miles posting 3 wins, 7 draws and 1 loss (6.5/11) but behind Karpov (9/11) and Korchnoi (7/11).

Torre's lone loss was inflicted by International Master Michel Jadoul who ended up dead last in the tournament with 2.5/11 (+2,−8,=1).

[23] Also in 1988 a 6-game Nigel Short vs. Eugenio Torre one-on-one match was held in Manila sponsored by Carlsberg Beer.

[28] At a meeting of the FIDE Council on April 19, 2021, Torre, along with Miguel Najdorf and Judit Polgár, were inducted into the World Chess Hall of Fame.

He had a very high performance rating of 2836 and won the bronze medal for Board 3 just behind former teammate Wesley So of the United States and Zoltán Almási of Hungary.

Torre has an outstanding record at this tournament where he won the gold medal 4 times: for his score in the 1977 (Auckland, New Zealand), 1979 (Singapore), 1981 (Hangzhou, China) and 1983 (New Delhi, India) editions.

[45] In 2002 and 2004, Torre also manned the top board for Team Philippines in the 13th (Aden 2002) and 14th (Manila 2004) editions of the Asian Cities Chess Championship.

[53] In the 16th Asian Games, Torre helped the Philippines finished second behind China, beating the Indian team in the semifinals to secure the silver medal.

Torre also played Board 3 in the World Student Chess Team Championships in 1969 although he lost his one and only game in the said tournament against William Roland Hartston.

[56][57] In 2010, Torre competed in the 3rd Calgary International Chess Classic held at Alberta, Canada where he flashed his vintage form by finishing in a tie for second through fourth places on the strength of four wins, four draws and a solitary loss against winner GM Victor Mikhalevski, the tournament top seed with Elo Rating of 2614.

[62] In the 42nd Chess Olympiad held at Baku, Azerbaijan he scored an undefeated 10/11, with a performance rating of 2836,[63] thanks to which he won the individual bronze medal on board three.

[65] He acquitted himself well in this tournament (won by Anish Giri), scoring 7 out of 10 (7 wins 3 losses) and tying for 11th to 29th places eventually settling for 13th after the tiebreaks.

Those interviews gained notoriety for Fischer and despair for his fans as he believed he would be killed in the United States after being deported from Japan.