Rebeca Olvera was born in Mexico.

She studied at the Conservatorio Nacional de Música in Mexico City and gave her professional operatic debut in the role of Marie in Donizetti's La fille du régiment at the Palacio de Bellas Artes.

In 2006 she won the prize of the audience at the International Hans-Gabor Belvedere Competition in Vienna

Between 2005 to 2007 she was a member of the International Opera Studio in Zurich and subsequently became a member of the ensemble of Zurich Opera. She has performed roles such as Adina in L'elisir d'amore, Norina in Don Pasquale, Berenice in L'occasione fa il ladro, Giulia in La scala di seta, Rosina in Paisiello's Il barbiere di Siviglia, Blonde in  Die Entführung aus dem Serail, Madame Herz in Die Schauspieldirektor, Despina in Così fan tutte, Dorinda in Händel's Orlando, Mi in Das Land des Lächelns, Madame Folleville in Il viaggio a Reims, Isolier in Le comte Ory and Adalgisa in Norma.

She was the first ever Mexican soprano to appear at the prestigious Salzburg Festival in a new production of Norma directed by Moshe Leiser and Patrice Courier with Cecilia Bartoli in the title role. She has since returned there in several occasions.  

Rebeca has performed at the Komische Oper in Berlin, Wiener Konzerthaus, Konzerthaus Dortmund, Severance Hall with the Cleveland Orchestra, Salzburger Festspiele, Opéra Monte-Carlo, Edinburgh Festival, Théâtre des Champs-Élysées in Paris, Festspielhaus Baden-Baden, Tonhalle in Zurich, Det Kongelige Teater in Copenhague, the Bayerische Staatsoper in Munich and the National Concert Hall in Dublin.

Rebeca has worked with conductors such as Ralf Weikert, Vladimir Fedoseyev, William Christie, Marc Minkowski, Nello Santi, Adam Fischer, Fabio Luisi. Diego Fasolis, Franz Welser-Möst, Emmanuelle Haïm and Alessandro De Marchi and shared the stage with great singers like Ruggiero Raimondi, Juan Diego Flórez, Cecilia Bartoli, Javier Camarena, Piotr Beczala, Rolando Villazón and Plácido Domingo.

Together with José Carreras, she gave concerts in Mexico, Argentina, Denmark, Norway, Sweden, Austria, Cyprus, Russia, Czech Republic, Slovakia and in Germany where she participated in a gala concert which was televised on the German channel ARD.