Oteo developed his entire top-level career at CAU Madrid, becoming a prominent back for the side in the División de Honor de Rugby. His performances earned him call-ups to the Spain national team (the XV del León), playing several international fixtures during the early 1980s, including FIRA Trophy tournament games against European nations like Belgium.
Post-retirement and administrative career
After retiring from playing, Oteo remained heavily involved in rugby governance. He served as the First Vice President of the Madrid Rugby Federation (Federación de Rugby de Madrid). In 2024, he joined a high-profile committee bid alongside former national team coach Santiago Santos to renew the regional federation's management.