From the Super Mario Wiki
Pi'illodactyls are large Pterosaurs that appear in Mario & Luigi: Dream Team. Pi'illodactyls do not appear on the field, as they are a background enemy which must be brought into battle with a Taunt Ball in the instances they randomly appear during battles in Mount Pajamaja. Only one Pi'illodactyl can be fought per battle. Pi'illodactyls attack differently depending on whether they are in the background or the foreground. If in the background, it will fire blasts of fire at Mario and Luigi. The targeted Bro. is easily identified, as the flame clearly flies in line with its target. These flames must be jumped over.
If brought into the foreground with a Taunt Ball, the Pi'illodactyl will crash into the ground where the enemies Mario and Luigi were fighting earlier once were, knocking them out of the battle. In the foreground, it may shoot flames, much like it does from the background from a closer distance; like before, they must be jumped over. After the bros dodge the flames, they then must jump repeatedly to avoid taking damage on the hot spots left over. If it raises its right claw before it shoots, it is aiming for Mario, then Luigi, and if it raises its left claw, Luigi, then Mario. The Pi'illodactyl may also flap its wings rapidly, causing Mario and Luigi to be blown backwards into a skid, with boulders rolling in line with them as they are blown back. These boulders must be hammered and sent flying back into the Pi'illodactyl before they knock Mario and Luigi back further. This attack will end after several waves of boulders.
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