Ran and Kudo's encounter in New York

Ran develops a fever and as she starts to have more and more flashbacks of a long haired man(Akai Shuichi) she then has a dream of her trip with Kudo and his mom a year ago to New York (right after Kudo's first case on the plane).

There they meet his mom's friend Sharon Vineyard. An actress who is a master of disguise. She and Kudo's mom studied under a famous Japanese magician the art of disguise for a film role. (That magician is the father of Kaito Kid, a character from an other Aoyama Gosho comic who also makes some appearances in Detective Conan) .

Sharon says that on the day of her screen debut both her parents died in a fire and her husband died the day after she won her Oscar. And that when she was placing flowers on her husbands grave her daughter Chris showed up disguised perfectly as him(As far as I've read, that hasn't been important, but it may be in the future, related to Sharon's death etc.)

On their way back to their hotel in a taxi after a case, Ran drops a handkerchief out the window and she and Kudo stop to look for it. There is a long haired Japanese killer on the loose and that's when Ran encounters the long haired Akai Shuichi. But it turns out that Akai is actually the one searching for the Killer, not the killer himself (it is made to seem like he is with the police or something).

Meanwhile, Kudo had gone into an abandoned building to get Ran's handkerchief that had flown up and stuck on a fire escape. Ran goes in to look for him and that's when they encounter the real killer. A long haired Japanese man with silver hair. The man falls off the fire escape but Ran and Kudo grab on and save him. When he asks why Kudo says "Do you need a reason for that? I hate trying to figure out why people kill. But you don't need a logical reason to save someone do you?" For various reasons Kudo let's the criminal go.

Kudo's mom is talking on the phone with Sharon. She says Kudo called the cops but the man shot himself by time they got there. Then Sharon tells her to tell Ran that she seems to have a guardian angel too.

As it turns out Sharon was disguised as the slasher. She probably shot the slasher then disguised herself as him for what ever reason and that's when she encountered Kudo and Ran. That is also connected to Chris Vineyard calling Ran "Angel" and Conan "Cool Guy".

It's also revealed that Akai Shuichi is with the FBI.