Abstract: An antiscattering device for the collection of waste material (dust, shavings) produced in the course of drilling, milling and similar operations, to be fitted in the most appropriate way on machine tools and basically made up of a bellows shaped bell (e.g. frustum-conical), provided, if required, with an axially elastic vacuum cleaner or extractor--which can be fitted on the machine tools themselves. This bell is permanently or temporarily secured to the frames of machine tools (e.g. manually, on a drill), coaxially to the drill bit while its base, provided with a seal ring, rests on the surface of the material to be drilled, thereby creating, with its shell, a receptacle where the waste material collects.