When I use a french press to brew coffee, there always is some small grounds with the coffee.
I have adjust the grinder to make coarse grounds, but this does not help a lot.
Can I remove these annoying grounds without a filter?
After pressing the coffee I always let it settle a while prior to pouring. Pour slowly, then let it settle a moment in the cup. I leave the last of the coffee in the press to avoid most of the sludge. Some very fine grounds will inevitably make it into the cup -- it is the nature of the beast.