The invention relates to a container (1) for containing a substance. The container comprises a preformed deformable body defining a filling cavity. The body has an opening (6) and an integral planar circumferential rim (5) surrounding said opening. The opening is closed by a cover sheet (7) which is sealed to the circumferential rim by means of a circumferential sealing seam (10). The circumferential rim has a flat dispensing part which is covered by the cover sheet, which cover sheet is sealed to the dispensing part by at least two outwardly directed sealing seams (11) joining the circumferential sealing seam and extending at a distance from one another from the circumferential sealing seam to the edge of the dispensing part. A weakened seal (14) with a pointed region (15) extends between the outwardly directed sealing seams. The pointed region is directed towards the cavity and the weakened sealing seam joins the respective outwardly directed sealing seams at a distance from the location (12) where the respective outwardly directed seals join the circumferential seal.