Asim al-Ahwal عاصم الأحول · Game (Kitab Al-Said)

I asked the Messenger of Allah. I said: We hunt with these dogs. He replied: When you set off your dog and mention Allah's name over it, eat what it catches for you, even if it kills it, except that the dog has eaten (any of it); if the dog has eaten (any of it), do not eat, for Im afraid it has caught it only for itself.

The Prophet (ﷺ) as saying: When you shoot your arrow and mention Allah's name, and you find it (the game) after a day, and you do not find it in water, and you find in it only the mark of you arrow, eat (it). But if another dog joins your dogs, do not eat it, for you do not know maybe the one which was not yours has killed it.