A glueless composite panel is disclosed having a first panel element and a second panel element. The two panel elements are connected together by coupling and extend in each case parallel to a longitudinal direction of a first end side of the first panel element. A first groove is arranged on the first panel element on the first end side thereof, the groove being delimited by a tongue and an edge strip that is set back with respect to the tongue. The first edge strip is in this case subdivided into individual first strip sections. The second panel element has corresponding coupling such that in the coupled state of the two panel elements the first strip sections and second strip sections of the second panel element undercut one another at least regionally.