  Recent advances in the $\gamma$-ray observations of solar flares by the
\textit{Fermi} satellite, demand revisions in the hadronic $\gamma$-ray flux
computation below 1 GeV. In this work we utilize recently updated pion
production cross sections, along with an accurate description of low energy
nuclear interactions. Applying these new interaction descriptions to model the
\textit{Fermi} Large Area Telescope (LAT) solar flare data, we infer the
primary particle spectral parameters. Application of this new cross section
description leads to significantly different spectral parameters compared to
those obtained previously. Furthermore, the inclusion of nuclei in these
calculations leads to a primary spectrum that is generally harder than that
required from proton only considerations. Lastly, the flare data at lower MeV
energies, detected by the \textit{Fermi} Gamma-ray Burst Monitor (GBM), is
demonstrated to provide additional low-energy spectral information.
