If you have not managed to get the stopper out may I suggest the following. Get WD40, eucalyptus oil or tea tree oil and put it round the stopper. The stand the perfume in the fridge until it gets cold. Then transfer it to the freezer fro a half hour or so. This should have two effects (1) the solvent should be sucked into the bottle by the artificial vacuum. (2) the solvent should by capillary action be spread somewhat. I would try gently moving the stopper several times and hopefully it will release. Be very careful to change temperature SLOWLY (hot water is very risky) because large temperature gradients can set up enormous internal stress and if the glass has not been properly annealed it will crack.
Ross