Alvania discors is a species of minute sea snail, a marine gastropod mollusk or micromollusk in the family Rissoidae.

[2] (Description as Rissoa montagui) The shell is imperforate and, thick.

It is whitish, yellowish or has a chestnut color, plain or with one or two bands.

The aperture is white-lipped and sulcate within, with a white varix externally.

It is found in the following locations: Fossils have been found in Pleistocene strata near Santa Flavia, Sicily and near Monastir, Tunisia; also in Pliocene strata near Siena, Italy.