Hello, there are about 6 Filipino residents here in Uruguay. Are you already here on a 90 day visa? If so, you can extend for another 90 days but start your residency process as soon as you can. You will need your birth certificate and police clearance translated and apostilled so you may need help from a family member in the Philippines. You will also need a carne salud which is a card issued after a medical, photo carne which is just a few passport sized photos and a notarized statement of how you will support yourself but you probably had to do all that for your visa.
You should take a look at and go to Residencia Legal.