Here is a list of Concepción's best fights. For a list of Concepción's losses, refer to "Luis Concepción Losses".
On August 31, 2016 Luis Concepción fought Kohei Kono in a super-flyweight world-title fight for Kono's WBA title. Concepción was 30 years old and with a record of 35-4 (24), and Kono was 35 years old and with a record of 32-8-1 (13). Concepción won the fight via 12-round unanimous decision and is crowned the new super-flyweight world champion.
On November 27, 2009 Luis Concepción met Roberto Carlos Leyva in a flyweight (WBA) world-title defense fight. Concepción was 24 years old and with a record of 19-1 (14), and Leyva was 30 years old and with a record of 27-9-1 (21). Concepción stopped Roberto Carlos Leyva via 4th-round KO and successfully defended his title.
On October 2, 2010 Luis Concepción met Denkaosan Kaovichit in a flyweight (WBA) world-title defense fight. Concepción was 24 years old and with a record of 22-1 (17). Concepción stopped Denkaosan Kaovichit via 1st-round TKO and successfully defended his title.