The history of the church in Asso-Veral has many episodes of interest that help trace its links with the surrounding area. At the beginning of the 14th century it was handed over to Lope Jimenez de Luna by the Spanish king James II after confiscating it from Marin de Leher. It may have initially formed part of the castle that dominated the lands around from a promontory. Today, remains of this castle can still be seen next to the church.

The original church was a simple construction with a single nave and a semicircular apse reinforced by two buttresses. It was probably built in the 13th century but it was later subjected to a number of modifications and additions, including the architraved roof of painted wood and the tower.

Inside, the main altarpiece dedicated to Nuestra Señora de la Asunción is worth noting. It is a Barroque wood sculpture (18th century), made up of four levels, one below and above the bench, a higher level divided into three sections by Solomonic columns and a penthouse section. The decoration is exuberant, with scrolls, vine shoots and bunches of grapes of evident eucharistic symbolism. Between these busy and elaborate decorations stand the painted wooden sculptures of the Assumption of the Virgin in the central niche and those of Saint John the Baptist and Saint Joseph with Jesus in the lateral niches.

The decoration of the altarpiece is crowned by a sculpture of St Christopher and above it, an oval with the figure of the Holy Spirit.