Erechim is a Brazilian municipality located in the southern state of Rio Grande do Sul. A regional center in the northern portion of the state, i…Erechim is a Brazilian municipality located in the southern state of Rio Grande do Sul. A regional center in the northern portion of the state, it is the second most populous city in the region with 106,633 inhabitants, second only to the city of Passo Fundo. The municipality ranks 17th in total gross domestic product in the state of Rio Grande do Sul.