The bike stops just fine -well, kind of, as good as that old bike brakes are-. The lever never touches the grip. That is, from the fully extended position, there is some part that the lever just "wiggles around" because it is not touching the plunger. Then, it starts to brake as normal without going too far. My question is wether that free play is normal. There is nothing wrong with the lever, so maybe it is just a problem with the brake pump. I don't think so, because I personally rebuilt the master cylinder and all the new parts were exactly the same than the original. I will post a picture whe I have a chance.
Raul