Ten natural and semi-synthetic compounds (gallic acid and alkyl gallates) were investigated by in silico methods in order to evaluate their potential inhibitory activity against SAR-CoV-2 using the X-ray structure of SARS-CoV-2 main protease bound to Boceprevir at 1.45 Å (PDB ID: 6WNP). The evaluation of drug-likeness in terms of Lipinski’s Rule of Five and docking results in terms of docking score and interactions with the amino acids residues from the active binding site of the target protein were reported.