Drinking attachment for drinking vessels comprising - a funnel-like circumferential drinking rim, which is open towards the drinking vessel, having an fastening section for fastening the drinking attachment to an edge region of the drinking vessel surrounding an opening of a drinking vessel, and - a bowl-shaped elastic sealing disc, which can be inserted into the drinking rim to seal the drinking rim, - wherein the sealing disc abuts circumferentially against the drinking rim in the region of the end of the drinking rim, which is free in the intended mounting state of the drinking attachment 10) on a drinking vessel, forming an interstice open towards the drinking vessel, and is formed so that it can be partially lifted from the drinking rim by a suction action of a user of the drinking attachment in order to open a passage to the interstice, - wherein the sealing disc in the area of its bottom has an outwardly projecting circumferential flange, which is designed to come to rest on the edge surrounding the opening of the drinking vessel, and - wherein the drinking rim is provided with a clamping flange projecting towards the sealing disc to clamp the flange of the sealing disc against the rim of the opening of the drinking vessel when attaching the drinking attachment to a drinking vessel, - wherein the flange of the sealing disc is provided with a number of openings to the interstice, and - wherein the drinking rim consists of at least two separate components (16', 18'), one of which forms the fastening section, characterized in that the clamping flange ends in front of the openings provided in the flange of the sealing disc. - a funnel-like circumferential drinking rim, which is open towards the drinking vessel, having an fastening section for fastening the drinking attachment to an edge region of the drinking vessel surrounding an opening of a drinking vessel, and - a bowl-shaped elastic sealing disc, which can be inserted into the drinking rim to seal the drinking rim, - wherein the sealing disc abuts circumferentially against the drinking rim in the region of the end of the drinking rim, which is free in the intended mounting state of the drinking attachment 10) on a drinking vessel, forming an interstice open towards the drinking vessel, and is formed so that it can be partially lifted from the drinking rim by a suction action of a user of the drinking attachment in order to open a passage to the interstice, - wherein the sealing disc in the area of its bottom has an outwardly projecting circumferential flange, which is designed to come to rest on the edge surrounding the opening of the drinking vessel, and - wherein the drinking rim is provided with a clamping flange projecting towards the sealing disc to clamp the flange of the sealing disc against the rim of the opening of the drinking vessel when attaching the drinking attachment to a drinking vessel, - wherein the flange of the sealing disc is provided with a number of openings to the interstice, and - wherein the drinking rim consists of at least two separate components (16', 18'), one of which forms the fastening section, characterized in that the clamping flange ends in front of the openings provided in the flange of the sealing disc.