A method for producing glass vials, in particular pharmaceutical vials or pharmaceutical ampoules, from a glass tube is provided, the method including the following steps: (a) rotating the glass tube about a longitudinal axis thereof; (b) locally heating the glass tube from one side by means of at least one burner to at least the softening temperature of the glass; (c) reducing the diameter by pressing at least one forming body laterally against the heated region; and (d) separating the glass tube by means of a burner. A glass vial produced in such a way releases a reduced amount of alkali in accordance with ISO 4802 and has a decreased delamination tendency. Furthermore, in the hot-formed peripheral region, the alkali content is only slightly reduced when compared with the alkali content in the glass interior.