She studied at the Escuela Nacional de Danza under Nellie and Gloria Campobello, and became a member of Waldeen's ballet of fine arts (Spanish: Ballet de Bellas Artes).
Together with Anna Sokolow she discovered her talent for contemporary dance and got her first contact to José Limón, when she took part in a course of choreography for young dancers.
In 1955 Carlos Chávez made her primaballerina and choreographer of the academy of Mexican dance (Spanish: Academia de la Danza Mexicana) and he discovered her really talent during the works of "Misa brevis" with the Ballet de Bellas Artes in 1961.
Lavalle was director of the Academia de la Danza Mexicana from 1959 to 1969 and for a second time from 1972 to 1978.
Amongst others, Lavalle was awarded with the "José Limón" medal of the Instituto Nacional de Bellas Artes y Literatura in the Palacio de Bellas Artes on January 19, 2008.