The nature of Dark Matter remains one of the outstanding questions of modern astrophysics. The success of the Cold Dark Matter cosmological model argues strongly in favor of a major component of the dark matter being in the form of elementary particles, not yet discovered. Based oil earlier theoretical considerations, a possible link between the recent SPI/INTEGRAL measurement of all intense and extended emission of 511 keV photons (the hallmark of positron annihilation) from the central Galaxy, and this mysterious component of the Universe, has been established advocating the existence of a light dark matter (LDM) particle (at variance with the neutralino, in general considered as very heavy). We show that it can explain the 511 keV emission mapped with SPI/INTEGRAL without overprocducing, undesirable signals like high energy gamma-rays arising from pi degrees decays, and radio synchrotron photons emitted by high energy positrons circulating in magnetic fields. Combining the annihilation line constraint with the cosmological one (i.e. that the relic LDM energy density reaches about 23% of the density of the Universe), one call restrict the main properties of the light dark matter particle. its mass should lie between approximate to 1 and 100 MeV, and the required annihilation cross section, velocity dependent, should be significantly larger than for weak interactions, and may be induced by the virtual production of a new light neutral spin 1 boson U. On astrophysical grounds, the best target to validate the LDM proposal seems to be the observation by SPI/INTEGRAL and future gamma ray telescopes of the annihilation line from the Sagittarius dwarf galaxy and the Paloniar-13 globular cluster, thought to he dominated by dark matter.