Mogilevsky was a student, colleague, and close friend of Alexander Scriabin, with whom he traveled in 1910 on a tour arranged by the conductor Serge Koussevitzky.

In 1922 he began active touring abroad, taught at the Russian Conservatory in Paris.

In 1929,[2] Mogilevsky met and married Nadezhda Nikolayevna de Leuchtenberg, who accompanied him on piano as the two started what was to be a world tour.

One of Mogilevsky's more famous students were Shinichi Suzuki (whom he taught in Tokyo, ca.

In 1966, a monograph about him "The Soul of Music" by a Japanese violinist, student of Mogilevsky, Kiyoshi Kato, was published in Tokyo.