This invention relates to resealable closure systems that are useful in containers, such as those used in packaging goods. The reclosure system features cohesive layers which are bonded to each other to provide a resealable closure. The cohesive bond layers are separable to provide opening of the container and access to the interior of the container and/or contents. The cohesive layers have low blocking characteristics. The reclosure systems are useful for flexible packaging, such as polymeric film and cloth packages, and rigid packaging, such as fiberboard, cardboard, paper, and polymeric foam. The reclosure systems may be opened and resealed multiple times. The closure system is resistance to contamination by oils, debris, solvents, and water. The reclosure is cold sealable with finger pressure.