An electronic device, comprising: a memory configured to store instructions; at least one communication circuitry; at least one display; and at least one processor configured to, when executing the instructions: identify, through the at least one communication circuitry, that a connection with an external electronic device which is reproducing multimedia content is released; receive, through the at least one communication circuitry, a message for displaying a visual object indicating that the electronic device is capable of continuously reproducing the multimedia content from a time at which reproduction of the multimedia content has been progressed in the external electronic device, before a time elapses starting from a time on which the electronic device identifies that the connection with the external electronic device which is reproducing multimedia content is released; in response to receiving the message, superimpose and display the visual object on a screen which is being displayed through the at least one display; receive a user input on the visual object for requesting, to a server interlocked with the external electronic device and the electronic device, for continuously reproduce the multimedia content on the electronic device from the time at which reproduction of the multimedia content has been progressed in the external electronic device; and continuously reproduce the multimedia content from the time at which reproduction of the multimedia content has been progressed in the external electronic device by using a second application distinguished from a first application used to identify that the connection with the external electronic device is released. a memory configured to store instructions; at least one communication circuitry; at least one display; and at least one processor configured to, when executing the instructions: identify, through the at least one communication circuitry, that a connection with an external electronic device which is reproducing multimedia content is released; receive, through the at least one communication circuitry, a message for displaying a visual object indicating that the electronic device is capable of continuously reproducing the multimedia content from a time at which reproduction of the multimedia content has been progressed in the external electronic device, before a time elapses starting from a time on which the electronic device identifies that the connection with the external electronic device which is reproducing multimedia content is released; in response to receiving the message, superimpose and display the visual object on a screen which is being displayed through the at least one display; identify, through the at least one communication circuitry, that a connection with an external electronic device which is reproducing multimedia content is released; receive, through the at least one communication circuitry, a message for displaying a visual object indicating that the electronic device is capable of continuously reproducing the multimedia content from a time at which reproduction of the multimedia content has been progressed in the external electronic device, before a time elapses starting from a time on which the electronic device identifies that the connection with the external electronic device which is reproducing multimedia content is released; in response to receiving the message, superimpose and display the visual object on a screen which is being displayed through the at least one display; receive a user input on the visual object for requesting, to a server interlocked with the external electronic device and the electronic device, for continuously reproduce the multimedia content on the electronic device from the time at which reproduction of the multimedia content has been progressed in the external electronic device; and continuously reproduce the multimedia content from the time at which reproduction of the multimedia content has been progressed in the external electronic device by using a second application distinguished from a first application used to identify that the connection with the external electronic device is released.