Frozen Days (2005)

Meow is a young woman roaming the streets and nightclubs of Tel Aviv. She lives in empty apartments and surfs the internet chat rooms. She decides to meet Alex, her chat buddy. They plan to meet in a nightclub but a suicide bombing prevents their meeting. She survives the attack and after she finds Alex in the hospital, in a coma, she moves into his empty apartment. Gradually, the tenants start referring to her as Alex, and as she assumes his identity, she finds herself sinking into a dangerous and deluded reality.

Source: TMDb