call me by your name の意味は？

“I’m like you,” he said. “I remember everything.”
I stopped for a second. If you remember everything, I wanted to say, and if you are really like me, then before you leave tomorrow, or when you’re just ready to shut the door of the taxi and have already said goodbye to everyone else and there’s not a thing left to say in this life, then, just this once, turn to me, even in jest, or as an afterthought, which would have meant everything to me when we were together, and, as you did back then, look me in the face, hold my gaze, and call me by your name