The announcement comes just weeks after the veteran pop star joined Carpenter during her headline set at Coachella.

The Like A Virgin singer has offered a reward for the return of the pieces, including a jacket, corset and dress.

The pair performed songs including Madonna’s hits Vogue and Like A Prayer at the US festival Coachella.

The pair appeared together at the event in the Colorado Desert in California.

The US star arrived early on stage, after hitting the headlines last year for delayed performances.