In 2004 Bruzon entered FIDE's top 100 by winning the B-group of the Corus Chess Tournament at Wijk aan Zee. He also became Cuban champion in 2004, and that fall he scored 8.5/11 on second board at the Calvia Olympiad, recording a 2771 performance rating.

Bruzon's steady rating gains continued into 2005, when he made an even score at the Corus Chess Tournament (2005) against an average opposition rated well over 2700. Other successes that year included a second consecutive Cuban Championship and the American Continental Championship (2005) at Buenos Aires 2005. First Ibero-American Champion at Ayamonte 2006 http://www.brasilbase.pro.br/ti2006.... He won the Cuban Championship in 2009 also.
In 2011 Champion http://www.ajedrezenmadrid.com/torn... of the Americas Continental at Toluca, sharing 1st place with Mark Bluvshtein, Giovanni Vescovi and Yuniesky Quezada Perez. At the World Cup (2011), Bruzon defeated Yuniesky Quesada Perez, Francisco Vallejo-Pons and Le Quang Liem in the first three rounds, but lost to Ruslan Ponomariov during the blitz tiebreaker after drawing the classical games and both sets of rapid-play tiebreakers. His very successful participation (7.5/8 - +7 =1 against 6 GMs and 2 IMs*) in the Catalan team events in Spain launched him into the 2700 club for the first time. He competed in the 4th Ibero-American Championships held in Quito in Ecuador, winning his preliminary group and making the final, but came 3rd in the playoff for the top places. However, the Ecuadorian Chess Federation advised that it would not recognise the event for FIDE rating purposes.

Bruzon's rating as at 1 May 2012 was 2711, making him Cuba's second ranked player, the fourth ranked in the Americas and number 34 in the world.

FIDE player card: http://ratings.fide.com/card.phtml?... Live ratings: http://www.2700chess.com/