White Valentine (1999)

Original title: 화이트 발렌타인

A girl named Jung-min writes to a young man named Hyun-jun, who is serving in the army. She lies about her age and claims to be a teacher. As Jung-min turns twenty, a 30-year-old man, who has eyes filled with sadness moves into her village. Every night, he sends letters through a pigeon to a deceased woman he loved dearly. He sends them high up in the sky, knowing that he will never get a reply. Then one day, like magic, he receives a letter. The letters sent through pigeons reveal someone's loneliness and sadness. And the two people meet each other by sheer chance..