Various astrophysical observations suggest that most of the matter in our Universe is non-baryonic and dark. Still, the identity of the Dark Matter remains a mystery. Recently, there has been a series of perplexing cosmic-ray and gamma-ray measurements, suggesting the indirect detection of Dark Matter in our Galaxy. Such an interpretation points towards a much richer structure than that of the garden-variety Weakly Interacting Massive Particle (WIMP) candidate, suggesting an extended 'dark sector' rather than a single Dark Matter particle. In this talk I will review the signals and anomalies and suggest a new picture that emerges for the dark sector. Its implications on particle physics and predictions for upcoming experiments will be discussed.