Once you have created a Nexmo Account you will be able to create multiple Nexmo Applications. Each Nexmo Application is identified by a unique Application ID.
This container hierachy is illustrated in the following diagram:
Notice that the set of Conversations and Users is unique to the Application, so there can be no conflicts.
A Conversation API call such as List Conversations would have a URL such as:
So which Conversations would be retrieved?
The answer lies in the fact that each API call is authenticated using a JWT, and the JWT contains the Application ID of a specific Nexmo Application. The Conversations returned would be those associated with the Application ID specified in the JWT.
Note that as a JWT is signed using the private key of the specific nexmo Application, the Conversation API is always authenticated to a specific Application. It is therefore not possible to use the Conversation API to look at the Conversations of an Application you do not have the private key for.