Martha Strongin Katz, James Wendell Griffith, Geraldine Walther, Lawrence Dutton and Yizhak Schotten were her students.
She performed many standard and non-standard pieces in the viola repertoire, including significant 20th century works.
She owned a fine instrument made by Matteo Goffriller (1659–1742) and was the lifelong custodian of another lovely viola, darker in tone, by Gasparo da Salò (1540–1609).
[2] She collaborated with the Budapest and Amadeus String Quartets (see below) and often appeared in performance with her brothers Joseph, a violinist and Harry, a cellist.
In 1947, Bohuslav Martinů composed and dedicated his 'Madrigals' for violin and viola to Lillian and Joseph Fuchs after hearing them perform the Mozart Duos at Town Hall in New York City.
Lillian Fuchs's influence can be seen in her two daughters, Barbara Stein Mallow, cellist, Carol Stein Amado (deceased), violinist, her granddaughter, Jeanne Abby Mallow, violist and violinist, and grandson, David Amado, conductor.