Enabling a recipient to control presentation of an audio identifier informing the recipient of an arrival of a digital communication from a sender in a communication session includes receiving a digital communication from a sender directed to a recipient. A sender-designated first audio identifier or sender-related information that identifies the sender to the recipient is accessed upon arrival of the digital communication. The first audio identifier or sender-related information is presented to the recipient contemporaneous with receipt of the digital communication. The recipient is able to specify, upon presentation of the first audio identifier or sender-related information, whether to enable subsequent presentation of the first audio identifier prior to or concurrent with receipt of a future digital communication from the sender.