"Come, Closer" covers the broken relationships of five different couples.

Su-Jin (Kim Hyo-Seo ) works in a coffee shop. On a slow evening, with no customers in the cafe, she receives a phone call from a Polish guy in Holland looking for his ex-girlfriend. Su-Jin tells him she has time to listen.

Hye-Young (Yozoh) is the singer for an up and coming indie band, while Ju-Young (Yoon Hee-Seok) is the guitarist. People often mistake the two for boyfriend and girlfriend.

Young-Soo (Oh Chang-Suk) brings over a girl named Se-Yun (Yeom Bo-Ra) after a night of drinking. The girl admires the erotic comics that he draws. She asks him about the rumor that he is gay. Young-Soo replies if there's rumors then it must be true. They then kiss.

Hyun-Oh (Yoon Kye-Sang) drives his car out of a parking lot on a rainy evening. Out of nowhere, his ex-girlfriend Eun-Hee (Jung Yu-Mi) stands in front of his car. She then gets in his car.

Young-Soo lays on the couch on his apartment in turmoil. His boyfriend Woon-Chul (Jang Seo-Won) finally comes home after a night drinking with friends. Young-Soo tells him that he is leaving him for a girl ...