Born in Pontevedra, Galicia, Ufarte moved with his family to Brazil at a young age, playing in the country with Clube de Regatas do Flamengo (two stints) and Sport Club Corinthians Paulista and earning the nickname O Espanhol (The Spaniard in Portuguese) during his spell.
[2][3] In 1964 he returned to his homeland, signing for Atlético Madrid and making his La Liga debut on 13 September in a 3–1 home win against Real Betis, helping the team to an eventual runner-up position.
In the 1969–70 season, Ufarte played all 30 league games and scored three goals as the Colchoneros won the national championship, the second of the three the player would win with the team.
In summer 1974, after having appeared in 323 competitive matches – 36 goals[2]– the 33-year-old joined Racing de Santander of Segunda División, achieving top-flight promotion in his first year and retiring after the following campaign.
Late into 1987–88 he replaced the fired César Luis Menotti at the helm of the main squad, being in charge for three matches and dismissed himself after feuding with elusive club chairman Jesús Gil.