How can I revamp the black screen color?

I had the replace the bezel of the screen. While doing this, I accidentily made some scratches into the black color of the screen's glas from behind, to the left and the right of the home button. So if I take a look at the screen now, I can see through these scratches, the black color is gone.

What's the best way to fix this? I thought about a black marker like an Edding or spraying black color on it. But I'm afraid that it's still possible to see the scratches afterwards.