An electronic device configured to share a single phone number with an external device, the electronic device comprising: a display; a communication circuit; a processor operatively connected to the display and the communication circuit; and a memory operatively connected to the processor, configured to store a plurality of call logs, wherein the plurality of call logs includes at least one conversion call log, and storing instructions that, when executed by the processor, cause the processor to: control the communication circuit to receive a call request via the phone number, control the communication circuit to transmit a first call log associated with a missed call to a server in response to a stopped reception of the call request, control the communication circuit to receive a first response signal regarding transmission of the first call log from the server, the first response signal being an acknowledgement signal that the server received the first call log, store the first call log in the memory based on the first response signal, control the communication circuit to receive a push signal from the server, wherein the push signal is generated by the server based on a second call log received from the external device and generated by the external device based on the call request, the push signal containing the second call log, update the first call log stored in the memory based on the push signal, when the second call log includes a conversion call log, display a first user interface including a call log interface and a conversion call log interface corresponding to the first call log stored in the memory, and when the second call log does not includes the conversion call log, display a second user interface including the call log interface corresponding to the first call log stored in the memory, wherein the conversion call log is generated by the external device based on a call containing at least one switch between voice only and video communication. a display; a communication circuit; a processor operatively connected to the display and the communication circuit; and a memory operatively connected to the processor, configured to store a plurality of call logs, wherein the plurality of call logs includes at least one conversion call log, and storing instructions that, when executed by the processor, cause the processor to: control the communication circuit to receive a call request via the phone number, control the communication circuit to transmit a first call log associated with a missed call to a server in response to a stopped reception of the call request, control the communication circuit to receive a first response signal regarding transmission of the first call log from the server, the first response signal being an acknowledgement signal that the server received the first call log, store the first call log in the memory based on the first response signal, control the communication circuit to receive a push signal from the server, wherein the push signal is generated by the server based on a second call log received from the external device and generated by the external device based on the call request, the push signal containing the second call log, update the first call log stored in the memory based on the push signal, when the second call log includes a conversion call log, display a first user interface including a call log interface and a conversion call log interface corresponding to the first call log stored in the memory, and when the second call log does not includes the conversion call log, display a second user interface including the call log interface corresponding to the first call log stored in the memory, wherein the conversion call log is generated by the external device based on a call containing at least one switch between voice only and video communication. control the communication circuit to receive a call request via the phone number, control the communication circuit to transmit a first call log associated with a missed call to a server in response to a stopped reception of the call request, control the communication circuit to receive a first response signal regarding transmission of the first call log from the server, the first response signal being an acknowledgement signal that the server received the first call log, store the first call log in the memory based on the first response signal, control the communication circuit to receive a push signal from the server, wherein the push signal is generated by the server based on a second call log received from the external device and generated by the external device based on the call request, the push signal containing the second call log, update the first call log stored in the memory based on the push signal, when the second call log includes a conversion call log, display a first user interface including a call log interface and a conversion call log interface corresponding to the first call log stored in the memory, and when the second call log does not includes the conversion call log, display a second user interface including the call log interface corresponding to the first call log stored in the memory, wherein the conversion call log is generated by the external device based on a call containing at least one switch between voice only and video communication.