On the morning of the 24th, Max came to visit Chleo at her house. He knew that Chleo had to go back to New York this afternoon to spend the Christmas and New Year's holidays with her extended family.
Max also knew Chleo wasn't ready to introduce him to her family yet. There was something that made Chleo worried if her family found out that she was seeing him. Max had no idea what Chleo was worried about because the girl never told him or let him know she had particular anxiety.
Nevertheless, Max never asked, and he didn't force her to talk or rush to announce their relationship. Max was willing to wait until the girl was ready, then Max would appear in front of the girl's parents.
Besides, Max was worried that Vincent would recognize him as Vasili even though he had different hair. He hoped Vincent would never remember Vasili Peskhov even though the chance was low.