A flexible pipe element is provided formed as a metal bellows with at least one corrugated bellows section and a bellows brim, which forms one end of the metal bellows, and a connection element for connecting the metal bellows to a continuing pipe part or to a connector, with the connection element having a connection area for abutting a contact area of the bellows brim. An annular bulge is formed in the contact area of the bellows brim and/or in the connection area of the connection element projecting beyond an average level of the contact area and/or an average level of the connection area in order to form a linear seal between the contact area and the connection area. A method for producing such a flexible line part is also provided.