Methods, apparatus, systems, and computer-readable media are provided for isolating at least one device, from multiple devices in an environment, for being responsive to assistant invocations (e.g., spoken assistant invocations). A process for isolating a device can be initialized in response to a single instance of a spoken utterance, of a user, that is detected by multiple devices. One or more of the multiple devices can be caused to query the user regarding identifying a device to be isolated for receiving subsequent commands. The user can identify the device to be isolated by, for example, describing a unique identifier for the device. Unique identifiers can be generated by each device of the multiple devices and/or by a remote server device. The unique identifiers can be presented graphically and/or audibly to the user, and user interface input. Any device that is not identified can become temporarily unresponsive to certain commands, such as spoken invocation commands.