In 1887, Nechodoma's family emigrated to Chicago where he worked as a contractor. In 1905, Nechodoma, already an architect, arrived in Puerto Rico after working for a short period in Florida. In Puerto Rico (1905–1928), Nechodoma became one of the most prominent architects in the Caribbean. His work included private and public buildings: banks, schools, markets, churches and houses. His practice extended to the Dominican Republic where he built the main 'glorieta' in the Parque Independencia in Santo Domingo and the Market in San Pedro de Macoris.