Pliable thermal containers interchangeably serve for containing cold or hot items, and are manufactured in polyurethane or EVA foamed materials, are struck resistant, and maintain a structure that allows them to remain upright and resist certain loads. The containers solve durability issues, A foamed material is used, and comprises unicellular air bubbles that provide thermal isolation properties and at the same time, during molding, this material attaches to a plasticized textile inner coating located at a mold piston for forming an interference zone. The lid may be directly hinged to the cavity using a textile hinge submerged in the material or independent thereof, with the lid being capable of being locked with embedded fasteners. with The pliable thermal containers solve brittleness problems of current containers shaped monolithic containers, are also provided.