Purple Blossom
Quest reward from Bloodgazer Bonding. it looks like an adorable sun hat on your little friend
The 
Purple Blossom is a toy reward from the 9th quest in the Bloodgazer Hatchling falcosaur pet questline, obtained by feeding your Bloodgazer Hatchling 
Azsunian Grapes in Azsuna.
Guide awaiting review
Obtain Bloodgazer Hatchling
You must first have the Bloodgazer Hatchling battle pet, which begins the falcosaur questline in Azsuna.
Feed Azsunian Grapes Repeatedly
Progress through the Bloodgazer Hatchling questline by feeding it Azsunian Grapes, continuing through each quest until you reach and complete the 9th quest in the chain.
Claim Purple Blossom Reward
Upon turning in the 9th quest in the Bloodgazer Hatchling questline, you will receive the Purple Blossom toy, which places an adorable sun hat on your falcosaur pet and lasts until it is dismissed.
Tips
All four falcosaur toys — Purple Blossom,
Fake Teeth, 
Dirty Spoon, and 
Tiny Pack — can be used simultaneously and will stack on your falcosaur pet at the same time.
