[2] The eldest son of Giovanni Battista Vitali, he is chiefly known for a Chaconne in G minor for violin and continuo, to which he is traditionally attributed as the composer.

The work was published from a manuscript in the Sächsische Landesbibliothek in Dresden in Die Hoch Schule des Violinspiels (1867) edited by German violinist Ferdinand David.

He was a teacher, whose pupils included Evaristo Felice dall'Abaco, Jean Baptiste Senaillé, Girolamo Nicolò Laurenti and Luca Antonio Predieri.

Especially relevant to Tomaso Vitali's Chaconne are the works of his father, Giovanni Battista, most significantly Passagallo che principia per B. molle, e finisce per Diesis, and Balletto à due ... che il Violino sona per B. molle, e il Violone sona per diesis.

For example, Jascha Heifetz chose it, in a "very much arranged and altered version", with organ accompaniment, to open his American debut in Carnegie Hall in 1917.