Flexible film packages having a partial, initial seal against ambient atmosphere and are easily openable and reclosable. The flexible film packages are generally resealable to extend the shelf-life or freshness of products contained therein once the package is initially opened. By one approach, the flexible film has two opposing edge portions that meet to form a longitudinal seal extending from a first end seal to a second end seal. The flexible film may have a score that defines a package opening. An elongated closure layer may extend over the score and may extend from a first end seal to a second end seal and within the opposing edge portions that form the longitudinal seal. The elongated closure layer may have a tack-free gripping portion used to release at least a portion of the elongated closure from the flexible film to form the package opening.