Jaime is hiding in the Free Cities, finding work as a sellsword. He has slowly built up his skills so that with his one hand he is more skilled than most men with two. He shaves his head and grows a beard and near none recognize him. He is in Braavos when he hears of Cat of the Canals, a slip of a girl who is praised to be the most skilled sword in Braavos.
He finds Arya Stark, who thrashes him thoroughly with her thin sword. Her eyes are cold as she presses the blade against his throat.
"Am I to pay for my sister's actions? For those of my father and my nephew?"
"Your son you mean?" she says, her voice cold.
"Yes fine, my son. Shall I pay for his madness and sins?"
"The way my sister paid for those imagined by your mad son?" she snarls, and she is every a wolf, wild and dangerous.
She moved her blade and watched as he struggled to his feet.
"This way," she says curtly.
When she walks away, she does not turn to see if he follows. She knows he will.