An elastic substantially tubular package for a semi-liquid or pasty extractable by a finger pressure product comprises a skirt, a head and optionally a cap. The skirt is formed from a wound foil and is provided with a longitudinal weld seam formed by the overlapping of the edges thereof, and the head is fixed to the circumference of the skirt end and forms an oval cross-section at the level of the skirt fixing area. The end of the longitudinal weld seam contacting the head is located in or near an area where the radius of curvature of the oval cross-section is minimal.