Venezuelan-born Eustache studied first in Venezuela under maestros Michel Eustache (his brother), Ernesto Santini, Antonio Jose Naranjo and Glenn Egner while a member of José Antonio Abreu's "Venezuelan Youth National Orchestra" (now known as "El Sistema"). Upon graduation, he received a scholarship from the Venezuelan government to study in Europe, at the "Hector Berlioz Conservatoire" and "L'Ècole de Musique d'Asnières", with Raymond Guiot & Pierre-Yves Artaud, respectively, with advanced studies with Aurèle Nicolet in Basel, Switzerland. He also has a M.F.A. in jazz from the California Institute of the Arts, U.S., where he studied with James Newton Jr. and Amiya Dasgupta, among other masters, and extensive studies in other music cultures of the world. These include Hindustani classical music and bansuri (North Indian bamboo flute) with Ravi Shankar, Pandits Hariprasad Chaurasia and Rajeev Taranath (Pedro is their only Latin-American disciple), shehnai with Pt. Rajendra Prasanna; Armenian duduk with maestro Djivan Gasparyan, Persian Ney with professor Houman Pourmehdi; classical Arabic music with maestro Riadh El Fehri and Arabic Ney with Nabil Abdmouleh; Australian didgeridoo with David Hudson; Japanese Shakuhachi with the late sensei Mazakazu Yoshizawa; Tunisian Mezoued with the late maestro Mustapha Ben Romdhane; & more recently in Jordan, Kawala Eastern oblique folk shepherds' flute with master Nour Dhin and Arabic Nay with maestro Hamsa El Faqir, respectively, among many others.