Packages having a base web (2) consisting of a polymeric film or sheet having at least one recess (3) with a packaged item therein, and a sealing web (4) sealed to the base web (2) and covering the recess (3), the sealing web (4) having a strength which substantially prevents the packaged item from being pushed through it on applying force to the recess (3) in the base web (2). A portion of the package where the base web (2) is sealed to the sealing web (4) has two substantially parallel lines of weakness (11, 12) positioned so that said portion can be folded towards a portion of the sealing web (4) and a corner of the package can be used to puncture the sealing web (4) so that the packaged item can then be pushed through the sealing web (4).