I review Standard Model contributions to 𝑐 → 𝑢𝑙+𝑙− and 𝑐 → 𝑢 invisibles transitions in the exclu- sive rare 𝐷 → 𝑃𝑙+𝑙−, 𝐷 → 𝑃1𝑃2𝑙+𝑙−, 𝐷 → missing energy, and 𝐷 → 𝑃 missing energy decays. Then, I discuss New Physics effects in these processes, using low-energy existing constraints, as the experimental bound on B(𝐷0 → 𝜇+𝜇−), 𝐷0 − 𝐷 ̄0 oscillations. I compare them with the contributions allowed by the experimental limits on the rates for 𝐷 → 𝑃𝑙+𝑙−, 𝐷 → 𝑃1𝑃2𝑙+𝑙−, and 𝐷 → missing energy decays.