Chagas disease, caused by the parasitic protozoan Trypanosoma cruzi (T. cruzi), represents a worldwide public health issue. To date, there is no efficient treatment to combat this pathology, and the only drugs available are usually toxic to the patient. Through the enzyme trans-salidase, the parasite invades, infects, and multiplies intracellularly in the host cell. This protein has been considered an attractive target for developing or searching for compounds with potential trypanocidal activity. In this study, an in silico analysis was performed using a Food and Drug Administration-approved computational drug repositioning approach to identify compounds with anti-Chagas potential against two trans-sialidase proteins. Those compounds with potential inhibition were analyzed and selected through a molecular docking-based virtual screening. Forty-nine compounds were identified, of which forty-five are available on the market, and the rest were evaluated in silico. Our predicted results follow that these compounds are safe for human use and could be potential anti-trans-sialidase agents.