I asked Messenger of Allah ﷺ. "We hunt with the help of these hounds." He said, "If you let loose your trained hounds after a game, and mention the name of Allah, then you can eat what the hounds catch for you, even if they killed the game. But you should not eat of it if the hound has eaten of it, for then it is likely that the hound has caught the game for itself. And if other hounds join your hound in hunting the game, then do not eat of it." (Using translation from Bukhārī 5483)
سَأَلْتُ رَسُولَ اللهِ ﷺ قُلْتُ إِنَّا قَوْمٌ نَصِيدُ بِهَذِهِ الْكِلَابِ قَالَ إِذَا أَرْسَلْتَ كِلَابَكَ الْمُعَلَّمَةَ وَذَكَرْتَ اسْمَ اللهِ عَلَيْهَا فَكُلْ مِمَّا أَمْسَكْنَ عَلَيْكَ وَإِنْ قَتَلْنَ إِلَّا أَنْ يَأْكُلَ الْكَلْبُ فَإِنْ أَكَلَ فَلَا تَأْكُلْ فَإِنِّي أَخَافُ أَنْ يَكُونَ إِنَّمَا أَمْسَكَ عَلَى نَفْسِهِ وَإِنْ خَالَطَهَا كِلَابٌ مِنْ غَيْرِهَا فَلَا تَأْكُلْ