The patron of Blufi is the Madonna dell'Olio, celebrated on the Tuesday after Pentecost, in the sanctuary of the same name, three kilometres from the town, at 660 metres above sea level: a small church there is recorded as early as the 12th century, and a more recent document traces its origin as far back as the 8th century. The present church is 18th-century in layout, with an elegant facade that once had a bell-gable, demolished in the 1960s and replaced with one in reinforced concrete; the single-nave interior is decorated with fine stuccoes.
Blufi's own name first surfaces in history precisely in a document relating to the sanctuary, having passed through the forms Morata Bufali, Belufi, Balufi and Bolufi. The name «Madonna dell'Olio» may derive from the olive groves once widespread in the area, which would also have given its name to the nearby Oliva stream, or from an ancient mineral oil spring nearby. On 15 August and from 17 to 19 August, the town holds other important celebrations, dedicated respectively to the same Madonna dell'Olio and, on the occasion of the «feste riunite», to the Most Holy Crucifix, the Annunciation and Saint Joseph.
