This is how you store half a ball of mozzarella.
Estimate in advance whether you will use the entire mozzarella ball for your dish. If not, collect the moisture from it. You can store the half ball of mozzarella with the liquid in a closed container. The quality deteriorates quickly, so do not store the mozzarella for more than two in three days. According to some packaging, you should consume the mozzarella within 24 hours. Use your senses to determine if the mozzarella is still good.