Born in Vigo, Galicia,[2] Riveiro began his coaching career at an early age, and took over his first senior team, CD Teis in the regional leagues shortly after.
After three years in charge of the team, he spent two seasons as an assistant and coach of Rápido de Bouzas' youth categories before returning to Teis.
In 2010, Riveiro was appointed manager of Mondariz FC in the Primeira Autonómica (sixth division), achieving promotion to the Preferente in his first campaign.
[3] Riveiro resigned from Mondariz in May 2014,[4] and moved abroad in July to work at Finnish side FC Honka, as an assistant coach.
[8] In his first season in charge, Riveiro led Inter to the 2nd position in the Veikkausliiga, qualifying the side to a European competition after six years.