Between 1981 and 1985 he studied painting in the Escuela Nacional de Bellas Artes “San Alejandro” in Havana, Cuba.
Toirac was a member from 1988 to 1992 of the artistic group Grupo ABTV, along with Tanya Angulo, Juan Pablo Ballester, and Ileana Villazón.
He was part of many collective exhibitions like Suave y fresco, in the Museo Nacional de Bellas Artes, in Havana, Cuba, in 1988.
In 1992 he was part of the Von Dort aus: Kuba, in the Ludwig Forum für Internationale Kunst, Aachen, Germany.
In 2010-12 Toirac participated in the exhibit Queloides which was presented in Havana, Pittsburgh, New York City, and Cambridge, Ma.