You have what is known as dye transfer. You need to try a product called maxi cleaner which was designed for this purpose.
This is a specific water based foam cleaner for leather and is the best thing to try first. This is a very strong cleaner and should be used with care, it should not be used as ageneral cleanewr but only on the areas affected.
If this doesn't work you will need to call a leather technician as the next step is the use of solvents which will almost certainly remove finish and pigment which will need replacing.
You should also be using a good water based leather protector on your leather which will inhibit dirt and grease from soaking into the leather and make cleaning easier next time.
Please DO NOT use anything containing oils, waxes, silicones or solvents as these will damage your leather.
Baby wipes are just about the worst thing to use on leather furniture as they break down the finish.