Tim,
We've encountered this problem on a couple of our new build sites, where wooden decking/balconies have leaked a stain down white render etc. I know perhaps you shouldn't use it put bleach from a 5L spray bottle, worked in with a sponge has worked every time.
Let it absorb in for ten minutes and wash it down with water if needed. However, the wood will continue to leak in the rain, so this is often an on going problem. Often site managers get us to do this a day or so before properties are handed over.
Cheers,
Huw.