That looks sort of custom to me. If the table is really old, it may have originally been done with a molding plane using scratch stock. Your best bet may be to use a bit to get close using a roundover, ogee or chamfer bit just to reduce the amount of stock you have to remove manually and then make a custom molding cutter using some scratch stock. You will either have to make a holder/plane for it or buy one. I've never used a moulding plane myself but perhaps someone will chime in that has. You should be able to find tutorials online for making your own cutters from scratch stock but you basically cut and file the profile you want (its a negative of the desired profile) and just fine tune it until it matches the existing profile.
BTW, having never done it myself, I am not certain whether it is better or worse to use a router to remove some of the material before using the molding plane.
EDIT: If possible, don't cut the width of the leaf until after you have put the profile on the edge. That way any blowout or chip out you get at the end of the cut can be cut off when finally cut to the final width.