Composite component system, having: a base component having at least one first component fibre ply and one second component fibre ply; a repair insert having at least one first repair fibre ply and one second repair fibre ply; wherein the base component is connected to the repair insert by means of an adhesive joint; wherein the first component fibre ply has an interface surface, which lies opposite an interface surface of the first repair fibre ply, with the result that the interface surface of the first component fibre ply is connected to the interface surface of the first repair fibre ply by means of the adhesive joint; wherein the second component fibre ply has an interface surface, which lies opposite an interface surface of the second repair fibre ply, with the result that the interface surface of the second component fibre ply is connected to the interface surface of the second repair fibre ply by means of the adhesive joint; wherein the first component fibre ply has a fibre orientation which corresponds substantially to a fibre orientation of the first repair fibre ply; wherein the interface surface of the first repair fibre ply at least completely overlaps the interface surface of the first component fibre ply; characterized in that: the interface surface of the first repair fibre ply extends beyond the interface surface of the first component fibre ply, or the interface surface of the second component fibre ply extends beyond the interface surface of the second repair fibre ply. a base component having at least one first component fibre ply and one second component fibre ply; a repair insert having at least one first repair fibre ply and one second repair fibre ply; wherein the base component is connected to the repair insert by means of an adhesive joint; wherein the first component fibre ply has an interface surface, which lies opposite an interface surface of the first repair fibre ply, with the result that the interface surface of the first component fibre ply is connected to the interface surface of the first repair fibre ply by means of the adhesive joint; wherein the second component fibre ply has an interface surface, which lies opposite an interface surface of the second repair fibre ply, with the result that the interface surface of the second component fibre ply is connected to the interface surface of the second repair fibre ply by means of the adhesive joint; wherein the first component fibre ply has a fibre orientation which corresponds substantially to a fibre orientation of the first repair fibre ply; wherein the interface surface of the first repair fibre ply at least completely overlaps the interface surface of the first component fibre ply; characterized in that: the interface surface of the first repair fibre ply extends beyond the interface surface of the first component fibre ply, or the interface surface of the second component fibre ply extends beyond the interface surface of the second repair fibre ply. the interface surface of the first repair fibre ply extends beyond the interface surface of the first component fibre ply, or the interface surface of the second component fibre ply extends beyond the interface surface of the second repair fibre ply.