His father, Pietro, was organist at Salò Cathedral, which has a one-manual organ built by Fratelli Serassi from 1865 (opus 684), which was restored in 2000/2001.

In addition, he held directorships at conservatories in Venice (1895–1901), Bologna (1902–1911) and Rome (1916–1923), where he established and implemented the standards of organ studies that are still used in Italy today.

His notable pupils included Giulio Bas, Giacomo Benvenuti, Giorgio Federico Ghedini, and Gian Francesco Malipiero.

Throughout his career, Bossi made numerous international organ recital tours, which brought him in contact with well-known colleagues such as César Franck, Marcel Dupré, Alexandre Guilmant, Joseph Bonnet, Camille Saint-Saëns, Charles M. Courboin, and Karl Straube.

)[3] Marco Enrico Bossi wrote more than 150 works for various genres (orchestra, five operas, oratorios, choral and chamber music, as well as pieces for piano and organ).