  We consider the analogue of the Andr\'e-Oort conjecture for Drinfeld modular
varieties which was formulated by Breuer. We prove this analogue for special
points with separable reflex field over the base field by adapting methods
which were used by Klingler and Yafaev to prove the Andr\'e-Oort conjecture
under the generalized Riemann hypothesis in the classical case. Our result
extends results of Breuer showing the correctness of the analogue for special
points lying in a curve and for special points having a certain behaviour at a
fixed set of primes.
