The Giant Pink Moon, known as Lucier, is a sacred ground for the Pali of Paladore. When Lucier is a full-moon, some Pali will be able to Palamorph into their next stage using one of the various Elemental Palamorph Flutes. If you have a Destiny Palamorph Flute you do not need to wait for a full-moon.
To palamorph a Pali, you need the respective Palamorph Flute as the type of Pali you want to palamorph. A fire type needs a Fire Palamorph Flute and so on. The moon must also be full, otherwise you will need to buy a Destiny Palamorph Flute from the Cash Shop for 1000 Crystals.