  We extend the calculation of relativistic bound-states of a fermion
anti-fermion pair in the Bethe-Salpeter formalism to the case of total angular
momentum $J=3$. Together with results for $J \le 2$ this allows for the
investigation of Regge trajectories in this approach. We exemplify such a study
for ground and excited states of light unflavored mesons as well as strange
mesons within the rainbow-ladder approximation. For the $\rho$- and
$\phi$-meson we find a linear Regge trajectory within numerical accuracy.
Discrepancies with experiment in other channels highlight the need to go beyond
rainbow-ladder and to consider effects such as state mixing and more
sophisticated quark-antiquark interaction kernels.
