Adi bin Hatim (may Allah be pleased with him) asked the Messenger of Allah (peace and blessings be upon him) about hunting, and the Messenger of Allah (peace and blessings be upon him) said: "When you release your arrow with the name of Allah, if you reach the game, eat; otherwise, if the game falls into water, you do not know whether it died because of the water or because of your arrow. If you find the game after one or two nights and there is no other mark on it besides the mark of your arrow, then if you wish to eat the game, eat."
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الصيد والذبائح / 18905