In reply to Rigid Raider:
> You need a powerful alkali to saponify the oil, something like caustic drain cleaner or tar remover for stove glass would do but it might also attack the grout. What about grinding out the grout and redoing it? An angle grinder with the right thickness of blade would get it out, although it would make a lot of dust.
Probably the best bet. Cement is slightly alkali and is attacked by acids, so using an alkili on it might not be so bad (always test on a small inconspicuous area of course)
Post edited at 19:57