display sender name

Hello
When a user A send a message to user B, in message directory, the header shown is the sender (user A).

this is good for user B display as he can see that sender A sent him a message.

But if user A is sending various messages to various senders, on its messagebox, all conversations are from its own name. this is not really user friendly to find quickly a conversation.

When user A is sender, how can we display in mailbox the participant instead of sender ?
When user A is participant, it’s ok to display the sender.

hope that I’m enough clear ??