After the Time War, all the Time Lords were extinct. All except for two - the Doctor and you. He could never find you, but he always knew you still existed. He could just feel it in his head, and it drove him crazy. That there was still someone left except for him, but he couldn't find you for the life of him.
Someday, he and Rose landed back on Earth so she could meet with Mickey and her mother. She would probably take a few days as usual. As he walked around the city mindlessly, someone passed him. He didn't pay any thought to it at first, people kept passing him. But there was something different about you, he could feel it. It didn't click at first, but he began to have suspicions after just a few seconds.
He turned around to see you walking away without a bother in the world. He quickly trotted to catch up with you and stopped in front of you, cutting off your way.
"Excuse me, sorry to bother you, but can I ask what your name is?" He asked with a shy smile, looking at you curiously but also with a sign of excitement.