Significant, almost crucial meeting with Boro Roković (a trumpeter, composer, arranger, pianist and accordionist) occurred while playing at a dance party in 1949. Bora heard him and was impressed by his talent. He wanted to help Mihajlo, introduce him more and better into the world of jazz and direct him to the true value. He offered him to join his orchestra. Živanović played there until the end of 1953. Soon he was invited by Aleksandar Nećak and played in all three orchestras at the same time.