 He went on to play for Argentinos Juniors and Platense.After retiring as a player Murúa took up coaching, he had spells in charge of several Buenos Aires based teams, such as Gimnasia La Plata, Platense and Talleres de Remedios de Escalada where he led the team to a third tier championship and gave José Yudica his first break in management.Later in his career he coached several teams in the interior including Altos Hornos Zapla during the 1983 and 1985 Nacional championships.