The liquid filled bottle includes a plastic bottle (1) and a cover member (C) sealing an opening (5) of the bottle, the cover member (C) including: —a closing portion (6) sealing the opening (5) of the bottle (1) in an annular area (6a), the closing portion having a circumference (8) defined by an outer edge of the annular area, the closing portion defining a first surface (S1) that is substantially planar and delimited by the circumference; and —a label portion (10) that defines a second surface (S2), the label portion (10) and the closing portion (6) being parts of a single piece foil, for instance a flexible plastic foil. The second surface (S2) is entirely offset relative to the annular area (6a), the ratio between the second surface (S2) and the first surface (S1) being at least 1:2, and preferably at least 1:1.