  We prove that every embedding of $K_{2n+1,2n+1}$ into $\R^3$ contains a
non-split link of $n$-components. Further, given an embedding of
$K_{2n+1,2n+1}$ in $\R^3$, every edge of $K_{2n+1,2n+1}$ is contained in a
non-split $n$-component link in $K_{2n+1,2n+1}$.
