Bazán grew up in Colonia Valle Gómez and turned pro at age 17 to make some money.

[1] He made his professional debut on 13 April 1992, defeating Miguel Pérez on points in Mexico City.

[3] In 2001 César took on WBC lightweight champion, José Luis Castillo but went on to lose the championship bout.

[4] He has not fought for a title since, although he continues to fight and recently lost a split decision to Cristian Bejarano in a foul filled fight in which Bazan was docked a point for a low blow in the fourth and Bejarano was docked a point for a headbutt in the 11th.

[5] César lost a light-welterweight bout to Irish fighter Paul McCloskey on a decision in Donegal, Ireland, on 29 March 2008.