In the iteration of transcendental meromorphic functions wandering domains may occur. In this article we discuss the behaviour of the sequence (fn) in a wandering domain. We show that the set of limit functions may consist of any given finite set of constant functions if the constant function ∞ belongs to this set. Furthermore, we show that the set of limit functions can only exist of a finite number of constants if this set is contained in the backward orbit of ∞ or if its elements form an irrationally indifferent cycle which is contained in the Julia set.