A soft-sided insulated container assembly with a removable thermal storage member mounted therein. The container has a first portion and a second portion. The first portion forms a body and the second portion forms a lid movable between a first position obstructing access to a chamber defined in the first portion and a second position permitting access. The lid has a structural frame having members defining a seat for the thermal storage member when the lid is in the first position. The storage member has portions operable matingly to engage the frame members.