Lid-spout assembly for a package having a designated pour opening and being filled with a pourable product; the lid-spout assembly comprising a spout (4, 4', 4", 4′′′, 4ʺʺ) and a lid , wherein the spout (4, 4', 4", 4′′′, 4ʺʺ) comprises at least - a collar extending along a longitudinal axis (E), carrying a pouring outlet at a first axial end and an inlet opening for the pourable product at a second axial end and delimiting a flow channel for the pourable product extending between the pouring outlet and the inlet opening ; and - a closing element arranged or being arrangeable within the flow channel and being controllable between an active position in which the closing element is configured to interrupt a fluidic connection between the pouring outlet and the inlet opening and an inactive position in which the closing element is configured to allow for a fluidic connection between the pouring outlet and the inlet opening ; wherein the lid is controllable between at least a closing configuration in which the lid covers the pouring outlet and an open configuration in which the lid is detached from the pouring outlet ; wherein the lid and the closing element are coupled such that the closing element is in the active position and in the inactive position with the lid being respectively in the closing configuration and in the open configuration, wherein the collar comprises an inner surface delimiting the flow channel ; wherein the closing element comprises a peripheral portion being fixed, prior to a first control of the closing element from the active position to the inactive position, to the inner surface along an initial contact portion of the inner surface ; wherein the inner surface comprises: - a main surface portion extending from the initial contact portion towards the pouring outlet ; and - an auxiliary surface portion extending from the initial contact portion to the inlet opening , characterized in that the auxiliary surface portion delimits an auxiliary space having a frustoconical shape and tapering towards the inlet opening . - a collar extending along a longitudinal axis (E), carrying a pouring outlet at a first axial end and an inlet opening for the pourable product at a second axial end and delimiting a flow channel for the pourable product extending between the pouring outlet and the inlet opening ; and - a closing element arranged or being arrangeable within the flow channel and being controllable between an active position in which the closing element is configured to interrupt a fluidic connection between the pouring outlet and the inlet opening and an inactive position in which the closing element is configured to allow for a fluidic connection between the pouring outlet and the inlet opening ; wherein the lid is controllable between at least a closing configuration in which the lid covers the pouring outlet and an open configuration in which the lid is detached from the pouring outlet ; wherein the lid and the closing element are coupled such that the closing element is in the active position and in the inactive position with the lid being respectively in the closing configuration and in the open configuration, wherein the collar comprises an inner surface delimiting the flow channel ; wherein the closing element comprises a peripheral portion being fixed, prior to a first control of the closing element from the active position to the inactive position, to the inner surface along an initial contact portion of the inner surface ; wherein the inner surface comprises: - a main surface portion extending from the initial contact portion towards the pouring outlet ; and - an auxiliary surface portion extending from the initial contact portion to the inlet opening , - a main surface portion extending from the initial contact portion towards the pouring outlet ; and - an auxiliary surface portion extending from the initial contact portion to the inlet opening , <EOS>