A container includes an inner bag, where the interior of the inner bag includes a sterile environment for storing a material, at least one access port configured to provide fluid access to the interior of the inner bag, an overwrap bag, where the interior of the overwrap bag includes a sterile environment for storing the material and where the inner bag is enclosed within the interior of the overwrap bag, and an overwrap access port configured to provide fluid access to the interior of the overwrap bag. The material can include a biomaterial. Each of the inner bag, the overwrap bag, the at least one access port, and the overwrap access port can include a fluoropolymer such as fluoroethylenepropylene (FEP).