A ball includes a core and a surface cover that is formed by sewing together two shape-mated covering pieces. Each covering piece has a close-to-edge area defining inboards an inward circumferential zone in which spaced through apertures are defined. The through apertures are circumferentially distributed along the inward circumference of the close-to-edge area. The close-to-edge area has an outward circumference forming a turn-back section. The turn-back section is foldable over and attached to itself by adhesives so as to form a smooth and regular outer circumference of the covering piece. When the surface cover of the ball is completely sewn, a sewn portion between the two covering pieces shows a smooth and regular configuration so that no secondary finishing of the sewn portion of the covering pieces is needed. The manufacturing time of the ball can thus be shortened and the manufacturing costs reduced.