Episode 13 of Kamisama no Inai Nichiyoubi, included in the final Blu-ray/DVD volume of the series. This bonus episode is separated into three parts. In the first part, taking place before the characters reach Ostia, Ai and the others visit a hot spring. In the second part, Alice remembers the times he killed his classmates and encounters Hampnie Hambart. A battle ensues. In the third and final part, Hampnie dreams of when he first met Hana and is then woken up by Ai. (Source: Wikipedia)

After being deserted by her parents, 11-year-old Miyori shuts her heart from the rest of the world and denies any form of human relationships. She was entrusted in the care of her grandmother who lives near a forest. Miyori will take a walk in the forest where she felt a strong sense of loneliness in the forest which seems to have nothing. However, she soon encounters unbelievable things and gradually realizes that the forest is more than what it seems...

Word is out that the "Hemingway Papers", the newly discovered last novel by the great author, tells the hiding place of a buried treasure on a desolate Mediterranean island. Lupin sneaks onto the island where, instead of treasure-hunting, he finds himself embroiled in a violent struggle for power. To Lupin's surprise, his old buddies Jigen and Goemon are also in the fight for their own reasons. Marcus the Merchant of Death also lands on the island accompanied by Fujiko, Lupin's greatest weakness, and followed by the police inspector, who is forever on Lupin's tail. 

(Source: ANN)

Short specials added to Blu-ray/DVD volumes.