Sand it with fine grit paper, just do it by hand so you don't start stripping off the stain (assuming it's real wood) They have top coat sprays in matte fiishes you can put on top to protect it.

You could sand the finish with fine sandpaper, that will definitely dull the finish.

Ok thanks. Sandpaper had crossed my mind as well. It’s definately wood!

I'd try very fine grade steel wool instead, as sandpaper may be more uneven on the textured part. Try inconspicous place first (underside if it is finished)

Great idea, thank you!

I never thought of steel wool, that’s a much better choice than sandpaper.

Use 0000 steel wool (four zeros). Buy it in the paint department of a paint store or a home improvement store. The steel wool for dish washing is too coarse.

Yes, I already had some 0000 and I just did a small portion here and it seems to be working great to remedy this. Here’s what I just did a bit ago, I think you can tell the difference.

Thank you all for your suggestions.

Looks much better!