A labelling apparatus for labelling a tray with the sides (302a,b) of the tray having a wing-shaped surface with a top portion (303a,b) of the opposite sides of the tray extending outwardly from the opposite sides in opposite direction while the tray is conveyed by a conveyor means, comprising: • a label feeder device configured to place a label onto a top surface of the tray such that the label extends across the tray with a portion of the label exceeding at least one side surface of the tray, • a first tucker device arranged sidewise to the conveyor means, comprising: o at least one applicator block rotatable mounted to an axis extending parallel to the conveying direction and the at least one side surface of the tray, o a first moving mechanism configured to move the at least one applicator block in a back and forth direction perpendicular to the conveying direction of the tray, wherein during labelling the first moving mechanism, in response to a control signal, moves the at least one applicator block from an initial position to a labelling position where the at least one applicator block presses the portion of the label exceeding the at least one side surface of the tray towards the at least one side surface of the tray such that the at least one applicator block follows the shape of the at least one side surface of the tray via a rotational movement of the least one applicator block around the rotation axis, wherein the labelling apparatus is further comprising a second tucker device arranged above the first tucker device, the second tucker device comprising: • at least one structure having a free-end following the shape of the at least one side surface of the tray, the at least one structure being positioned adjacent and above the first tucker device, • a second moving mechanism configured to move the structure in a back and forth direction perpendicular to the conveying direction of the tray, wherein during labelling the second moving mechanism, in response to the control signal, is configured to initially move the at least one structure to a labelling position where the free-end of the at least one structure presses the portion of the label exceeding at least one side surface of the tray towards an upper side portion of the at least one side surface of the tray, followed by said labelling by the first moving mechanism where the remaining part of the portion of the label exceeding at least one side surface is pressed. • a label feeder device configured to place a label onto a top surface of the tray such that the label extends across the tray with a portion of the label exceeding at least one side surface of the tray, • a first tucker device arranged sidewise to the conveyor means, comprising: o at least one applicator block rotatable mounted to an axis extending parallel to the conveying direction and the at least one side surface of the tray, o a first moving mechanism configured to move the at least one applicator block in a back and forth direction perpendicular to the conveying direction of the tray, o at least one applicator block rotatable mounted to an axis extending parallel to the conveying direction and the at least one side surface of the tray, o a first moving mechanism configured to move the at least one applicator block in a back and forth direction perpendicular to the conveying direction of the tray, • at least one structure having a free-end following the shape of the at least one side surface of the tray, the at least one structure being positioned adjacent and above the first tucker device, • a second moving mechanism configured to move the structure in a back and forth direction perpendicular to the conveying direction of the tray,