The first mentioning of the villa comes later on. Infact, it appears in a 17th century Terrilogio in which a plan of the garden and a design of the palazzo is present. This design shows the presence of a covered roof-terrace on the main façade which has now disappeared. Isa Belli Barsali hypothesizes that this villa would date back to between the last ten years of the 16th century and the first ten years of the 17th century given its structure (the plan, the front view, the covered roof-terrace). It recalls Villa Buonvisi al Giardino, a model which in the late 17th century, is not active. Such a hypothesis is not backed up by archival documentation. The garden and the interior of the building were rearranged in the 1700's, but the three terraced layout in the downhill part of the park and the presence of hedges in semi-circles at the back of the garden, date back to the original plans in the late renaissance period. Maria Adriana Giusti has noted that the particularly Florentine aspect of Villa Oliva along with the strong influence of Ammannati's architecture are due to the close ties which existed between the old owners, the Buonvisis and the Medicis.