  Three searches for rare decays of the charmed $D^0$ meson are presented: a
search for $D^0 \to \ell^+\ell^-$ published by the BaBar collaboration using
about 468 fb$^{-1}$ of data and two searches for $D^0 \to \gamma\gamma$, one
published by the BaBar collaboration using about 470 fb$^{-1}$ of data, and a
second one presented as a preliminary result by the BESIII collaboration using
approximately 2.9 fb$^{-1}$. No statistically significant signal has been
found, in agreement with the Standard Model predictions.
