ok, I'll try and help you here...
Firstly, dont be distracted by previous comments that say this way is rubbish - its not. I go into houses and remove white marks, water marks and some heat marks using this method and charge for it - the people pay me, so it obviosuly must work
This method will not work on all surfaces or on all marks so you have to kind of test it to see if it will work.
You need meths and 0000 wire wool. make sure it really is 0000. Also, Liberon's 0000 is finer than normal 0000 but you may not be able to get hold of that. The finer the better as the wire wool abrades the finish and you want to keep that to the minimum for obvious reasons.
Get two seperate small pads of the wire wool (tennis ball size or a bit smaller) get the meths bottle and wet one wire wool pad with meths so the wire wool is wet but not soaked through and dripping. Then get the 2nd pad of wire wool and just touch it on the wet meths on the other w/w - now you have w/w which has a touch of meths on - damp not wet. Get that 2nd w/w pad and start with the first mark on the polish which is most out of sight. Rub the edge of the mark with the damp w/w with the grain starting light pressure and go increasingly firm pressure if the w/w does not make the polish sticky. What you are trying to do is rub away the tinyest film of polish to the surface that in turn will remove the mark. If the mark will remove in this way, you will see that happening very quickly as you are rubbing. The thicker the finish the more you can rub. Once the mark is removing, move across the mark removing it as you go esnuring the 2nd pad is moist not wet with meths (recharge by dabbing against the other w/w. Working this way, its often possible to remove a mark from a polished finish. Once the mark is removed, you will have a dull area. Wait 60 mins after removing and then rub over that dulled area with dry 0000 wire wool feathering the small dulled area into a wider and bigger area. Often you will need to wire wool down the whole top so as to blend in any localised dullness. Once dulled, wax whole top with furniture paste wax.
problems you may incur
1. polished surface goes sticky quickly (shellac or spirit based finish being disolved by the your meths)
2. polished surface is so thin, you rub through it to the wood and end up with a bare patch possibly taking away any stained finish in the process making the patch lighter as well
3. the method described just does not work (in which case you need to strip and refinish the whole top
4. the method removes some of the mark and makes it less obvious (a compromise and better than stripping and refinishing)
5. theres also issues with doing this on matt or high gloss finishes. On gloss finishes, you may need to burnish the dull patch on matt finishes you may need to involve a very fine abrasive paper (1200g) or pumice etc but thats going down other roads.
On entcountering the above, its the experience of the user that overcomes!
Hope the longwinded notes above help - go slowly and steady and keep it under control, test a tiny bit thats out of the way first before committing to the rest. If you try it and fail at the start, post back and I'll try and assist.
Good luck