“Things looked grim, but the doctors were able to snatch the patient from the jaws of death.”
“We were way behind, but somehow we snatched victory from the jaws of defeat.”
If someone who is about to die is saved, we say they were “snatched from the jaws of death”. If you almost lose a game or competition but then win, you “snatched victory from the jaws of defeat”.
「ダメかと思ったけど、医者たちが患者を死の淵から救い出した。」
「大きな差があったけど、最後に逆転優勝をした。」
今にも死にそうな人が助かったら、「死の口の中から救い出された」と言えます。負ける寸前でゲームや試合に勝ったら、「優勝を敗北の口の中からつかんだ」と言います。