Biaggi was born in Cordoba, Argentina, one of two sons of Celin Crispens and Eduardo Biaggi. He spent his childhood in Cruz Alta, a small town in that country. He was raised in a home without television; he and his brother were encouraged to create their own entertainment.

This led Edino to set up a workshop where he pursued imaginative projects including the restoration of a 1970s motorcycle and a two-horse carriage, and the construction of several oboes and English horn prototypes using Argentinean hardwoods - all by the time he was nineteen. More recently his instruments and the hardwoods he used have attracted the attention of instrument manufacturers who are considering using his ideas and materials in their commercial instruments.

His great uncle, Rodolfo "Wizard Hands" Biaggi (1906-1969), was a leading tango pianist, composer, and bandleader. Both of his parents were very musical, his mother being an amateur alto singer and his father a professional lyric baritone-bass and pianist who at one time had aspired to be a conductor but instead became a physician.

Biaggi started study on clarinet and drums in a conservatory when he was eight years old. He recently wrote about his early training and first oboe teacher:

At age fifteen, Biaggi decided he could not live without performing music and decided to pursue oboe performance as a career. He became principal oboe of the Rosario Youth Symphony Orchestra at that time and three years later, assistant principal oboe in the local symphony and a player in other professional orchestras in the community, including the chamber orchestra and Rosario Contemporary Ensemble.

In 1999 he served as principal oboe of the Mercosur Symphony Orchestra and in the following year principal oboe of the Colón Theatre Orchestra in Buenos Aires, Argentina. In 2001, he began study on a B.Mus. at Roosevelt University in Chicago with a full scholarship, studying oboe for the next four years with Alex Klein.

After graduating from RU in 2005, he stayed in the Chicago area, where he was principal oboe in Advent Chamber Orchestra and taught privately for two more years, having established a private studio in 2003. In the year prior to establishing his studio, he was winner of the "La Scala di Seta" oboe contest at RU.

In 2007, Biaggi enrolled at Queens College, CUNY, where he studied with Humbert Lucarelli and completed an M.A. in oboe in 2009. He is presently working on an Artist Performance Certificate at QC under Lucarelli. While at QC, he became a member of the Golden Key International Honor Society in 2007and received the Dorothy and Morris Grosser Woodwind Award in 2008 and the Ronald Roseman Woodwind Award in 2009 and 2010.

Biaggi has also studied privately with James Caldwell, formerly of the Oberlin Conservatory; Grover Schlitz, former English horn player with the Chicago Symphony Orchestra; Ray Still, former principal oboe of the CSO; and Rubén Albornoz, principal oboe of the Colón Theatre Orchestra.

His earlier skills developed while experimenting in his workshop as a teenager led to innovations in the making of oboe reeds that have dramatically sped up the process of reed making while improving the sound and projection of the reed. He is able to hand-make 4000 professional reeds a year and presently supplies reeds for several of the largest music stores nationwide.

In addition to teaching oboe performance he also gives lessons in reed making and conducts online reed-making sessions with students in ten states in the U.S. and in Europe, Australia, and South America.

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