7 Days of Himawari & Her Puppies (2013)

Other name: ひまわりと子犬の7日間 , Himawari to Koinu no Nanokakan

Synopsis:

Set within an animal shelter, where if the owner of an animal doesn’t claim their pet in 7 days, the animal is put to sleep. Himawari is a female dog and a mother. She tries to desperately save her puppies.