From day 8 > Premier Ball > Can be thrown on Shiny Pokemons only > rate 5.5
From day 15> Mythic Ball> Can be thrown only for rare pokemons : Red gyarados, elder charizard, crystal onix, big onix, champion primeape, tapu koko, tapu lele, tapu fini, tapu bulu> rate 6.0
From day 25 > Moon Ball > Can be thrown only on ghost and dark pokemon > rate 5.0+10% bonus if ball was thrown between 00:00 – 5:59 server time
From day 27 > Epic Ball > Allows to throw a ball on certain pokemons that cannot be caught with any other ball: Scizor, Blissey, Chansey, Lycanroc, Porygon, Porygon2, Porygon-Z, Hitmontop, hitmonlee, hitmonchan > rate 4.0