[3] Later that year, at the end of November, he competed in the FIDE World Championship: after defeating Liviu-Dieter Nisipeanu in the first round, he was knocked out by Kiril Georgiev.

In 2002, Bruzón won the 37th Capablanca Memorial (Elite group)[4] and shared first place with compatriot Leinier Domínguez in the North Sea Cup.

In the latter, he knocked out Nikolai Kabanov and Alexander Onischuk, then he lost to Evgeny Bareev in the third round and thus was eliminated from the competition.

In October 2005, he tied for 2nd–5th with Kamil Mitoń, Zhang Pengxiang and Artyom Timofeev in the Samba Cup in Skanderborg.

[11] In December 2005, Bruzon won the Carlos Torre Repetto Memorial by defeating Michal Krasenkow in the final.

[16] Later that year, in November, he won the Magistral Casino de Barcelona round-robin tournament, edging out Ivan Salgado Lopez on tiebreak.

At the Chess World Cup 2011 Bruzon eliminated sequentially Yuniesky Quesada, Francisco Vallejo Pons, and Lê Quang Liêm, and made it to the fourth round, where he was defeated by Ruslan Ponomariov in the blitz tiebreaks.