In 1968, at the suggestion of Ian Hunter, a composition was created by Alexander Goehr specifically for du Pré, Romanza for cello and orchestra, op.24, which she premiered at the Brighton Music Festival, with Daniel Barenboim conducting the New Philharmonia Orchestra.
In addition to those already mentioned, Du Pré performed with numerous orchestras throughout the world, including the London Philharmonic, Cleveland Orchestra, New Philharmonia Orchestra, BBC Symphony Orchestra, New York Philharmonic, Philadelphia Orchestra, Chicago Symphony, Israel Philharmonic, and the Los Angeles Philharmonic Orchestra. She made her debut with the Berliner Philharmoniker in 1968 playing Dvořák's Cello Concerto in B minor with Zubin Mehta. She regularly performed with such conductors as Barbirolli, Sargent, Sir Adrian Boult, Daniel Barenboim, and Leonard Bernstein.