La Posada del Rosario is a 16th century building, declared a national historic-artistic monument, currently the headquarters of the Royal Academy of Medicine of Castilla-La Mancha.

The building was constructed in the 16th century. Its use as an inn dates back to the 18th century. It originally belonged to one of the most prominent lineages of the local nobility: that of the Cantos Barnuevo family. The linking of the property to an entailed estate and its transmission to the heirs, the Pando Barnuevo family, conditioned its habitability and its change of use when, with the family diminished and the successors reduced to a minimum, it was transformed into an inn. Thanks to this adaptation, it has survived to the present day, and is, moreover, the only one of the old inns that has been preserved.

Research into the family that owned the estate in the 18th century, the Pando or Pando Galiano de Cantos y Cañavate - as they also like to call themselves when they received the inheritance from their uncle Andrés de Cantos Barnuevo Cañavate in 1760 - has led to the entailed estate inherited by the latter from his grandfather, Andrés de Cantos, son of the bachelor Diego de Cantos, successor, in 1581, to the entailed estate instituted by Captain Andrés de Cantos.

Among the goods of Andrés de Cantos is a house inherited by his nephew, Francisco Javier de Pando Cantos Galiano, which is described as follows: "a main dwelling house, which is in the town of this village and is on the corner of the street that from the Calle Mayor goes to the Vía Crucis and hermitage of Nuestra Señora del Rosario and Santo Sepulcro, the house being on the left hand side and to the one that from the public square and street that they call de la Caba leads to the one they call del Tinte, This house is adjacent to a vegetable garden belonging to these entailed estates which is on the side of the Via Crucis road and is very large and does not adjoin any other building of any kind".

After its closure as an inn in the middle of the 20th century, the building fell into decadence. The lack of surveillance - despite being one of the city's historic buildings - led to rapid deterioration and consequent despoilment. The building was compulsorily expropriated by the city council in 1986. During the restoration of the building in 1994, an access door to the study rooms was added to one side of the building. This is the main doorway of the so-called "Casa de los Picos", which was part of the former palace-house of the Counts of Villaleal in Calle de Gaona, which was dismantled around 1977.

With a square floor plan, Renaissance features and a popular regional structure, it has a large central courtyard and two floors with galleries.

The building is the headquarters of the Royal Academy of Medicine of Castilla-La Mancha. Refurbished, it houses a study room with 190 seats. Temporarily, the historic space is converted into a theatrical stage as it was in its origins.