you can get stuff called furniture reviver in posh furniture shops. If you haven't already done it, don't try washing up liquid on a french polished surface!
Sprinkle on talcum powder, (Fullers Earth is better though not so readily available), and cover it with a few paper hankies or soft toilet tissue. Place a warm (Not hot!!) iron on the tissues, and the talc and tissues will absorb the grease.