  In this paper the scattering between the non-topological kinks arising in a
family of two-component scalar field theory models is analyzed. A winding
charge is carried by these defects. As a consequence, two different classes of
kink scattering processes emerge: (1) collisions between kinks that carry the
same winding number and (2) scattering events between kinks with opposite
winding number. The variety of scattering channels is very rich and it strongly
depends on the collision velocity and the model parameter. For the first type
of events, four distinct scattering channels are found: \textit{kink
reflection} (kinks collide and bounce back), \textit{one-kink (partial)
annihilation} (the two non-topological kinks collide causing the annihilation
of one half of each kink and the subsequent recombination of the other two
halves, giving rise to a new non-topological kink with the opposite winding
charge), \textit{winding flip kink reflection} (kinks collide and emerge with
the opposite winding charge) and \textit{total kink annihilation} (kinks
collide and decay to the vacuum configuration). For the second type of events,
the scattering channels comprise \textit{bion formation} (kink and antikink
form a long-living bound state), \textit{kink-antikink passage} (kinks collide
and pass each other) and \textit{kink-antikink annihilation} (kink and antikink
collide and decay to the vacuum configuration).
