Polyxena hung near Achilles, a little unsure about seeing Patroclus. t was her brother who had killed him and she wasn't exactly in a hurry to come face to face with him. She had promised to help look for Briseis, however. And she knew she would have to see Patroclus eventually, considering her relationship with Achilles.
When Patroclus did step through the door, Polyxena waved at him. He looked like he hadn't slept in days and she wouldn't be surprised. "Hi, Patroclus."
Patroclus, for his part, was terrified to go searching around the place where he had been taken from and raped, but he knew they had to start somewhere. He acknowledged Polyxena and then he crossed his arms in front of him.