An individual absorbent article package, such as a sanitary napkin wrapper and an adhesive fastening system for such a wrapper are disclosed. The adhesive fastening system comprises a tape tab having an adhesive for releasably securing the wrapper and sanitary napkin in a folded configuration prior to and after use. The adhesive is adhered to a landing surface such as a portion of the sanitary napkin wrapper that forms part of the package body. The landing surface need not be reinforced to prevent tearing upon opening of the package. The fastening system provides bond security while at the same time making the fastening system easy to open without tearing by carefully matching of the properties of the adhesive, the tape tab, and the landing surface. The surface characteristics, elasticity modulus, and caliper of the landing surface are specified. The agressiveness (quick-stick) and coating weights of the adhesive are carefully selected to provide an adhesive fastening system that bonds easily, holds securely and is refastenable.