How come Byakuran came to Takeshi's side at the hospital?

あなた didn't know? Actually,Byakuran-kun did not died,he was just defeated only.....at the last episode,after Tsuna had defeated him,and before the Vongola back to the past,Byakuran-kun is seen being captured によって some Mafia and bring him to the beach.....that's why the present him came inside Yamamoto-kun's room with wings on his back......