Footprints on Tiles

[jonbar.1]

in our apartment we have highly polished cream tiles ( possibly marble).
Normally removing dirty footprints is,of course, easy.
However recently strange prints have appeared !
The prints seem to have caused fading, so they look much lighter in colour than the tile.We have not been able to remove them. It is likely that have picked up something on the soles of my shoes which has caused this.
Here is a ( very poor) photo.

Sorry about the quality . The tiles are actually beautiful polished/ cream in colour. My attempt at "enhancing" is rubbish!
We'd like to sort it out ourselves, before approaching our ( very aimiable) Landlord.
Anyone out there with a similar experienced?
Thankyou
Cheers JB

[Parilla]

Why are you thinking of approaching your landlord ?

Parilla

[jonbar.1]

Why wouldn't we approach him? it's his property.
He has always taken care of previous problems for us without hesitation.
If it's something we can fix easily ourselves,without troubling him,we will.
He probably knows more about his floors than we do.(After all he actually built the apartment block!)
As we have caused the problem we will be happy to pay.
If there is anyone out there who has any experience of this type of tile-blemish ,we will be happy to hear from them