  In this article we extend Milnor's fibration theorem for complex
singularities to the case of singularities $f \bar g:(X,P) \to (C,0))$ defined
on a complex analytic singularity germ $(X,P)$, with $f, g$ holomorphic and $f
\bar g$ having an isolated critical value at $0 \in C$. This can also be
regarded as a result for meromorphic germs. Then we strenghten this fibration
theorem when $X$ has complex dimension 2, obtaining a fibration theorem for
multilinks that extends previous work by Pichon. We prove that the multilink
$L_{f \bar g}$ in $L_X$ (the link of $X$), is fibred iff the map $f \bar g$ has
an isolated critical value at $0 \in C$, and in this case the map $\frac{f \bar
g}{|f \bar g|}$ defined on $L_X \setminus L_{f \bar g}$ is a multilink
fibration.We also give a combinatorial criterium, easy to verify, to decide
when is $L_{f \bar g}$ a fibred multilink. We finally prove a realization
theorem for fibred multilinks.
