The Condaghe di Santa Maria di Bonarcado mentions Sanctu Paraminu di Gilarce as a place where hearings were held to settle local disputes. On a suggestive green space at the edge of the inhabited area of Ghilarza rises the church of medieval character attributable to the 13th century, were it not for the posthumous addition of 17th-century bodies. The building is in fact the result of the addition of a transept, created by two facing chapels, and a quadrangular presbytery to the single-nave hall with a wooden roof and a bell gable on the north-west façade. The wall face, made of medium-sized ashlars, is bichromatic due to the alternating rows of pink and brown trachyte. This particular detail means that the construction of the church of San Palmerio can be attributed to workers active in Arborea in the first quarter of the 13th century and to a decisive Pistoiese influence, the same as that found in the 1228 renovation of the cathedral of Santa Maria in Oristano. The façade is slender thanks to two pilasters that rise on either side of the portal and pillars that divide it into three sections surmounted by round arches. The central section is pierced by a cruciform light, while the portal features a lunette with a raised rib and an architrave resting on monolithic jambs. On the visible sides, splayed single lancet windows can be seen both internally and externally. In the upper part run double lancet arches set on corbels, some of which have an archiacute form, indicating Gothic modes. An anthropomorphic figure in a praying position is sculpted inside the mirror drawn by an archway. The building is concluded by the apsidal pediment decorated with hanging arches similar to those along the nave.