At the 38th Chess Olympiad (2008) held in Dresden, Germany when he was still an International Master (IM), he played Board 4 for the Philippines finishing as the team's top scorer with 7.5/11 on the strength of 5 wins, 5 draws and a solitary loss for a winning percentage of 68.2% with a Tournament Performance Rating (TPR) of 2585 as compared to his 2519 ELO at that time that made him the second strongest Filipino bet in the Olympiad just behind Wesley So (2610) despite being the only IM in the team.

[19] Finally, at the 43rd Chess Olympiad (2018) conducted at Batumi, Georgia where he again manned Board 2 and scored 4.5/10 on the strength of 2 wins, 5 draws and 3 losses with a TPR of 2351 as against his ELO of 2464 at that time.

At the age of 15 years old, Gomez represented the Philippines in the 40th World Junior Chess Championship held at Peristeri, Greece (2001) where he performed creditably by tying for 18th–30th places eventually finishing in 26th with a score of 7.5/13 posting 7 wins, 1 draw and 5 losses with a TPR of 2494;[25] Gomez was again the lone Philippine representative to the 45th World Junior Chess Championship conducted at Yerevan, Armenia where he finished with 7.0/13 ending up in a tie for 27th–38th places eventually ending up in 30th place registering 6 wins, 2 draws and 5 losses with a TPR of 2480 as against his then ELO of 2387.

[26][27] Gomez also participated in 8 editions of the Asian Individual Chess Championship also known as the Asian Continental Championship, five years consecutively from 2009–2013 and in 2017–2019: At the 2009 (7th) edition held in Subic Bay Freeport, Zambales, Philippines, he tied for 51st–65th place eventually finishing in 59th place with 5.0/11 in the 11-round Swiss System tournament with 3 wins, 4 draws and the same number of losses for a TPR of 2424 (2538 ELO).

[31] At the 2013 (11th) edition conducted at Manila, Philippines, he ended up tied for 11th–24th place ultimately ending up in 11th place scoring 5.5/9 in this 9-round Swiss System championships with 4 wins, 3 draws and 2 losses technically mirroring his performance in the 10th edition where he also posted the same numbers (wins, draws, losses and total score) with a TPR of 2593 as against his ELO of 2511.

[33][34] In the 17th edition dubbed as the 2nd Manny Pacquiao Cup (2018) where he tied for 20th-28th places with a score of 5.0/9 on the strength of 3 wins, 4 draws and 2 losses with a TPR of 2550 as compared to his 2450 ELO.

[40] Gomez represented the Philippines at the 2011 Southeast Asian Games held in Palembang, Indonesia and won a silver medal for blindfold chess competitions.

Gomez actually finished tied for first with Lê Quang Liêm of Vietnam at seven points apiece, but Liêm was awarded the gold medal by virtue of the winner-over-the-other rule as Gomez had lost to Liem in the 7th round before winning his last 2 games against Malaysian IM Jimmy Liew and IM Tirta Chandra Paurnama of Indonesia in the 8th and 9th rounds.

[41][42] Gomez won a gold medal representing Albay Province at the 2018 Philippine National Games Chess Championships, Standard Open Competitions where he scored 6.0/7 in the 7-round Swiss System Tournament by posting 5 wins and 2 draws.

[47] In 2014, Gomez took part in the Qatar Masters Open held from November 26 – December 4, 2014 where he was seeded 81st but finished well below the standings as he scored 4.0/9 with 3 wins, 2 draws and 4 losses for a TPR of 2440 way below than his ELO of 2510.

[48] He also played in the 7th HDBank Cup International Open Chess held from March 12–17, 2017 in Vietnam where he was seeded 21st with his 2481 ELO but placed a respectable 20th in a field of 103 players with a score of 5.5/9 recording 3 wins, 5 draws and 1 loss suffered against Venezuelan Super GM Eduardo Iturrizaga (2673).

[51][52] Gomez tied for 2nd and 3rd places with IM Paulo Bersamina in the 2019 National Chess Championship dubbed as the Battle of the Grandmasters held from November 18–28, 2019 at Quezon City, Philippines won by GM Rogelio Barcenilla.

[54] He finished in the Top Ten of the Joytu Sheikh Hasina International Online Chess Tournament (Bangladesh Invitational) held on September 27, 2020.