Set in the picturesque city of Shimla, Simran and Anurag attend a symposium around the same time. Their excitement knows no bounds, but the only worrying factor is the winter in the hills. A chance meeting with Anurag's Professor in college leads to a renewed connect, and memories of his late grandfather become fresh.

Embarking on their journey by train, they meet a lot of elderly people. Throughout their stay, they happen to meet another geriatric couple trying to make ends meet, who introduce them to similar greying people.

Stay for Little More Days oscillates between the present and the past, finding similies and weaving it into the fabric of time.