A recloseable zipper closure for use with a flexible package has a female profile including first and second spaced profile legs joined by a female base to define a central, continuous, elongate receiver recess. A male profile opposing the female profile includes a male profile member extending from a male base, the male profile member being sized and positioned to be releasably inserted in the receiver recess and engaged with the first and second profile legs. A female fin is attached to the female profile at an attachment area along the base; the female fin being positioned to be secured to a portion of the flexible package. A male fin is attached to the male profile member and is positioned to be secured to another portion of the flexible package.