Thanks folks.
Not sure why the OW tool didn't show me the UIO-MAD sectors. I'm actually routing to LHR, but UIO-MAD-LHR is much more sensible than UIO-JFK-LHR, unless, of course, you're an airline alliance tool trying to maximise revenue
Thanks for the help, LAN J direct to MAD is much better than via MIA/JFK on AA IMO.