[1] D'Orbay was born in Paris and likely received his early training as an architect from his father, who was a master mason and entrepreneur.
While in Rome, d'Orbay created an ambitious but unexecuted design for a stair in front of the Trinità dei Monti, as well as three buildings adjacent to the church.
[2] Commissioned by Anne of Austria, d'Orbay designed and built the entrance to the church of the convent of the Prémontrés de la Croix-Rouge in 1662.
A friend, the sculptor Étienne Le Hongre, executed the patron's coat of arms and the bas-relief of the attic (The Eucharist Carried by Angels).
[2] In 1671 d'Orbay became one of the founding members of the Académie Royale d'Architecture and that same year designed the portal of the Hôpital de la Trinité (destroyed), rue Saint-Denis, Paris.