He entered the point circuit in 1964 and earned a reputation as a colorful fighter. At the 1972 Santa Monica Kempo Open, Urquidez lost in the finals to Brian Strian. In the 1973 Internationals, he fought John Natividad in what is considered one of the greatest non-contact bouts in history. In an unprecedented 25-point overtime match, Natividad won the match 13–12, receiving the Grand Title and the $2,500 purse. In May 1974, at the PAWAK Tournament, Urquidez lost a 4–1 decision to Joe Lewis. He also competed in England and Belgium as a member of Ed Parker's 1974 US team. Also in 1974, he began his move away from the non-contact style by entering and winning the World Series of Martial Arts Championship, effectively a tough-man contest with few rules. Over the next two decades, he fought under various kickboxing organizations (NKL, WPKO, Professional Karate Association (PKA), World Kickboxing Association (WKA), AJKBA, Shin-Kakutojutsu Federation, NJPW and MTN) to amass a record of 58 wins with no losses. This undefeated record, though official, is controversial and highly disputed.