  We present a study of the $D^*\rho$ system made by using the method of QCD
sum rules to determine the mass of possible resonances generated in the same
system. Using isospin and spin projectors, we investigate the different
configurations and obtain evidences for three $D^*$ mesons with isospin
$I=1/2$, spin S=0, 1, 2 and with masses $2500\pm 67$ MeV, $2523\pm60$ MeV, and
$2439\pm119$ MeV, respectively. The last state can be associated with
$D^*_2(2460)$ (spin 2) listed by the Particle Data Group, while one of the
first two might be related to $D^*(2640)$, with unknown spin-parity. In the
case of $I=3/2$ we also find evidences of three states with spin 0, 1 and 2,
respectively, with masses $2467\pm82$ MeV, $2420\pm128$ MeV, and $2550\pm56$
MeV. The results for the sector $I=1/2$ and S=0, 1, 2, are intriguingly similar
to a previous study of the $D^*\rho$ system based on effective field theories,
supporting in this way a molecular picture for the resonances $D^*(2640)$ and
$D^*_2(2460)$, while the results for $I=3/2$ hint towards the existence of
exotic mesons since a multiquark configuration is required to get the quantum
numbers of the states found.
