How Do You blend sun fade with No sun Fade?

Hi I just purchased a genuine parker coffee table in top condition apart from the fact that the previous owner had two doilies sitting in the same position for so long that everything around them faded except these two spots. So the table has two dark doily marks either end which are very obvious.

How do I get the table top to look all the one colour again, what products can I use as I'm scared to touch it incase I make it worse by staining or oiling.

Im very new to this kind of work so easy to understand replies would be great, LOL.