He was the son of Filippo della Valle, a Roman patrician; the family tomb is in Santa Maria in Aracoeli, where an inscription to their father was placed by Andrea and his brother Bartolomeo.
Inspired by the Cortile del Belvedere, in 1520 he commissioned the Rafaellesque sculptor architect Lorenzetto Lotti to create a suitable setting for the sculptures and inscriptions and other antiquities that he had amassed, the result of a generation of rediscoveries at the turn of the 16th century.
[5] The architectural framing and the great care with which the ensemble was presented— as decorative as it was scholarly, evoking Classical harmony, symmetry and equilibrium, was a model for other Roman collections.
Maarten van Heemskerck's early drawing of the loggia,[7] showing the two famous armless satyrs supporting baskets on their heads, set against the piers of the arches, was etched by Hieronymus Cock in 1558 and circulated among connoisseurs of the Antique.
Here, in the serene and ordered presentation that was eventually developed in the 1520s and 30s by Lorenzetto— Heemskerck's drawing still shows a picturesque disorder— were undertaken the first systematic restorations and completions of Roman sculptural fragments,[8] work that, according to Vasari's anecdotes, had occasionally been undertaken piecemeal for the Medici by Donatello and Verrocchio, but which became common practice and developed into a Roman industry during the sixteenth century; Vasari, following his description of della Valle's antiquities, remarks, "And to tell the truth, these antiquities restored in this manner have much more grace than those mutilated trunks, members without heads or figures defective and incomplete in any other way".