Kit comprising: a material application device including: - a protective tube extending in a longitudinal direction between first and second ends (3, 4), the second end being open, - an interchangeable cartridge contained in the protective tube, this cartridge containing a cup and a stick of material, said stick of material extending in said longitudinal direction between a proximal end engaged inside the cup and a distal end at a distance from said cup, the cup comprising an inner lip (14; 114; 214) which is covered by the stick of material inside the cup, - a control mechanism for moving the stick of material in the protective tube in the longitudinal direction, such that at least a portion of the stick of material exits the second end of the protective tube, said control mechanism comprising a sliding element to which the cup is removably attached, Characterized in that the kit comprises an extracting member (64; 164; 264) adapted to penetrate the stick of material, said extracting member having an outer lip (66, 166, 266) which is solidly attached to said inner lip (14; 114; 214) after penetration into the stick of material, such that the cartridge can be extracted from the application device. a material application device including: - a protective tube extending in a longitudinal direction between first and second ends (3, 4), the second end being open, - an interchangeable cartridge contained in the protective tube, this cartridge containing a cup and a stick of material, said stick of material extending in said longitudinal direction between a proximal end engaged inside the cup and a distal end at a distance from said cup, the cup comprising an inner lip (14; 114; 214) which is covered by the stick of material inside the cup, - a control mechanism for moving the stick of material in the protective tube in the longitudinal direction, such that at least a portion of the stick of material exits the second end of the protective tube, said control mechanism comprising a sliding element to which the cup is removably attached, - a protective tube extending in a longitudinal direction between first and second ends (3, 4), the second end being open, - an interchangeable cartridge contained in the protective tube, this cartridge containing a cup and a stick of material, said stick of material extending in said longitudinal direction between a proximal end engaged inside the cup and a distal end at a distance from said cup, the cup comprising an inner lip (14; 114; 214) which is covered by the stick of material inside the cup, - a control mechanism for moving the stick of material in the protective tube in the longitudinal direction, such that at least a portion of the stick of material exits the second end of the protective tube, said control mechanism comprising a sliding element to which the cup is removably attached, Characterized in that the kit comprises an extracting member (64; 164; 264) adapted to penetrate the stick of material, said extracting member having an outer lip (66, 166, 266) which is solidly attached to said inner lip (14; 114; 214) after penetration into the stick of material, such that the cartridge can be extracted from the application device.