Danish Oil on kitchen tiles by accident

[wurstsalat]

Hi,

I have a wooden worktop in my kitchen which I oiled several times with a Danish Oil. I noticed recently that due to my clumsyness the oil spilled/ran over the white kitchen surfaces underneath the worktop and also is stuck to some of the kitchen wall tiles between the lower and higher units.
Basically I am an idiot and now have a beautiful new kitchen looking pretty ugly.
Can anybody recommend a good way of getting rid of the oil selectively from the tiles and kitchen units?

Next time I apply the oil I will tape the surrounding areas off so this wont happen again, but first I need to somehow undo the damage?

I dont want to use any chemicals without checking here first as they might damage/destroy the tile surface or the unit surfaces.

HELP!!

 

[pompeyal]

Maybe using a steamer used for removal of wallpaper may do the trick, it may soften the oil enough for it to be wiped of using a cloth moistened with alcahol, if it gotten into the grout bleach may shift it.

 

[foxhole]

Danish oil is soluble in many petrol based chemicals , simple can of lighter fuel should shift it, thick deposits can be scraped off and residue wiped off with lighter fuel.It won't harm the units or tiles.