Born in Courbevoie near Paris, Sombert began studying dance at the age of twelve with Yves Brieux.
[1] Choreographers such as Françoise Adret, Maurice Béjart, Victor Gsovsky, Serge Lifar, and Milko Šparemblek created roles for her.
[1] Sombert performed classical ballets including Giselle in Cuba, Swan Lake at the Bolshoi Theatre and the Kirov Theatre, Cinderella with the Cuevas Ballet, Coppélia, Raymonda, Suite en Blanc, Sylvia, and Les Sylphides.
[1][2] Sombert co-founded the association Terpsychore with Marcel Landowski and Yvette Chauviré to preserve French choreography and established a museum for dance.
[1][2] Sombert performed in approximately thirty-five countries across Europe, Africa, the Americas, and the Middle East, and appeared as a guest artist with the London Festival Ballet.