Based on the observed biological activities of coumarins and chalcones, we have synthesized coumarin–chalcone hybrids with the aim of evaluating their antioxidant properties and trypanocidal activity against Trypanosoma cruzi, the parasite responsible for Chagas disease. All derivatives have been proved to be good antioxidants in spite of their moderate trypanocidal activity in the epimastigote stage (clone Dm28c). Based on these results, we can conclude that compounds 4 and 5 are potential candidates for in vitro studies of their antioxidant activity. These preliminary findings encourage us to the future structural optimization of these kinds of compounds.