Polydorus, Priam's youngest son, was sent with gifts of jewelry and gold to the court of King Polymestor to keep him safe during the Trojan War. The fighting was getting vicious and Priam was frightened for the child's safety. After Troy fell, Polymestor threw Polydorus to his death to take the treasure for himself. Hecuba eventually avenged her son.
When Hector was killed by Achilles, Priam walked into the Greek encampment and begged for Hector's body so he could be buried. Achilles agreed, though he had already dragged the body around Troy three times, and Priam was eventually sacrificed to Zeus by Neoptolemus, Achilles' son.