With a thorough search in historical and narrative sources the exact day in which the holy prophet gave the Fadak Garden to Hazrat Zahra was not fund. As we have some other historical events of the same that their exact day or date is not recorded and this doesn’t prove their invalidity and nonexistence.
What has been mentioned in the narrative sources are as follow: After the revelation of the holy verse; and pay the right of your relatives, and the needy people, and do not splurge, then the holy prophet granted the Garden of Fadak to Hazrat Zahra (a.s)
It has also been narrated from Imam Sadiq (as) that: The Holy Prophet (PBUH) after the conquest of Fadak entered Medina and went to his daughter Fatima and said: My daughter! Fadak was not given to me by Almighty Allah, and Muslims have no rights over it and. Your mother Khadije has a right over me, and your father has put Fadak for that right and I will give the fadak garden to you and your childeren, Then the Prophet (PBUH) asked for a skin and summoned Ali ibn Abi Talib (AS) and asked him to write the garden of Fadak for Fatima.
source : erfan.ir