The present disclosure is concerned with forming and non-forming webs with improved puncture resistance suitable for use in semi-automatic horizontal form fill and seal (HFFS) packaging machines and a process for packaging hard food items with sharp angular surfaces using such webs in such machines. The webs have a double wall partially laminated structure. The structure is conveniently formed by adhesively laminating two component films in a face to face configuration using a pattern of adhesive which leaves a substantial portion of the two facing surfaces unlaminated. The lamination just needs to be sufficient that the two component films will hot form together when they are vacuum drawn into a die to form a cavity for packaging the food items. The webs comprise at least a first thermoplastic component film having substantial stored shrink forces and a second thermoplastic component film having no substantial stored shrink forces.