'Chalte Chalte' is a colourful and youthful love story that has a positive social message. Raj and Priya come from two different strata of society. While Raj owns a small-time transport business and belongs to the economically middle class section of society, Priya belongs to the affluent class and is well on her way towards becoming a famous fashion designer.
However, when a serendipitous twist of fate brings them together, they are drawn towards each other. Raj is immediately smitten by Priya but Priya is already engaged to marry her childhood friend, Sameer. Raj follows her all the way to Greece to woo her. During the journey Priya realizes that Raj is her true soulmate and decides to marry him.
Everything seems rosy for a little while, but after a year of their marriage, the couple is forced to deal with the harsh realities of marriage. Raj runs into financial problems and Priya borrows money from Sameer (whom she views as a friend, but Raj looks upon as a competitor), without telling Raj. When Raj finds out, all hell breaks loose and in an angry fit he accuses Priya of infidelity. This is too much to take for Priya and she leaves their home. Will they reunite or will the discord never be set straight?