Remove leather combi dirt

Good morning, I own a 2 parts Vanucci leather combi (beef leather). Now I have my first counter question after me and accordingly the station wagon looks. I wiped it off several times wet. According to the care book it is not to be in the washing machine and Habdwaache is not desired either. Now the dirt has put itself in the grain (in the small lines). I just can not get it out there. Can I put a brush on it? How should I treat the station wagon afterwards? Grease, imp Thank you, Max.