Banchini was born in 1946 in Lugano, Switzerland. She graduated from the Geneva Conservatory; following this she studied under Sandor Vegh and then at the Royal Conservatory in The Hague under Sigiswald Kuijken for the Baroque violin. She taught at the Centre for Early Music in Geneva and began performing as a soloist.
In 1981, she moved from Geneva to the Schola Cantorum Basiliensis in Basel, where she formed Ensemble 415, a Baroque performance ensemble, which was dissolved in January 2012. The group took its name from a common Baroque pitch. The ensemble's recording of Arcangelo Corelli's Concerti Grossi for Harmonia Mundi was a commercial success in 1992, as was their 1996 recording of Antonio Vivaldi's Stabat Mater. She has also recorded with Erato, Virgin Records, Accent, Astreé, and Zig Zag Territories.
She plays a violin made by Nicolò Amati in 1674.
- "Banchini, la maestra dei violinisti barocchi - la Repubblica.it". Archivio - la Repubblica.it. Retrieved 2015-11-12.