An apparatus for reshaping a container includes a mold of the split type. The container has a body member, a closed lower end member and a cone-shaped open upper end member. The mold has a pair of upper clamping members and a lower clamping member which slide along a liner. The upper clamping members and a seal for closing the container act on the double seam between the upper end member and the body member, thus ensuring that the upper end member and the double seam do not deform during reshaping. The seam between the lower end member and the body member is gripped between the lower clamping member and a support member. During reshaping, compressed air is supplied to the interior of the container, causing it to expand outwardly while the clamping members move inwardly.