  In a recent publication by Li $\textit{et al.}$, two phases of beryllene -
$\alpha$ and $\beta$ - were predicted to be single-gap superconductors with
critical temperatures of 9.9 K and 12.6 K respectively. Moreover, the
$\alpha$-beryllene was shown to host type-I Dirac fermions with the existence
of nontrivial edge states. We observe significantly weaker superconducting
properties of both beryllene configurations. We argue that the superconducting
gap evolution with temperature, as shown in Figure 5 (b and d) of Li
$\textit{et al.}$, exhibits clearly unphysical trends with increasing
temperature, leading to significantly overestimated values of the critical
temperature and erroneous conclusions concerning the two-gap superconducting
nature of $\beta$-beryllene. On a positive note, we report the value of the gap
in the Dirac cone of the topological states of interest that exceeds the
temperature range of superconductivity in $\alpha$-beryllene, supporting the
coexistence of topological features and superconductivity in this material.
