A reclosable flexible package having a reclosable closure comprising easy-to-use adhesive securement means in combination with non-reclosable closures provided above and below the reclosable closure. The package provides a re-openable seal for reclosing the bag upon a partial discharge of the contents thereof, such as food contents. The flexible package offers manufacturing ease and cost-savings, and tamper-resistance. The flexible package also may be incorporated into a bag-in-box package configuration. Methods of making and filling the package also are provided.