Grovlez toured Europe as an accompanist to Henri Marteau, violinist, and as a solo pianist. He was professor of piano at the Schola Cantorum from 1899 to 1909, choir director and deputy conductor of the Opéra Comique (1905–1908), and musical director at the Théâtre des Arts (1911–1913). At the Théâtre des Arts, he gave the premieres of Albert Roussel's Le Festin de l'araignée and Maurice Ravel's Ma mère l'oye, and also revived many operas, particularly from the baroque era, including works by Monteverdi, Lully, Rameau and Gluck.
