  It has recently been pointed out that the 511 keV emission line detected by
Integral/SPI from the bulge of our galaxy could be explained by annihilations
of light Dark Matter particles into e^+ e^-. If such a signature is confirmed,
then one might expect a conflict with the interpretation of very high energy
gamma rays if they also turn out to be due to Dark Matter annihilations. Here,
we propose a way to accomodate the existence of both signals being produced by
Dark Matter annihilations through the existence of two stable (neutral) Dark
Matter particles, as is possible in theories inspired from N=2 supersymmetry.
