So... how many times have you been sent a notification of a private trade, only for it to be deleted by accident, or get buried under the other notifications? If you haven't deleted it, then you can always search with the ID of the sender in the inbox - if you remember who it was -, but if the notification is gone, then you depend on the other party to either send you the link to that particular trade or cancel it and set it all up again. Wouldn't it be more convenient for everyone if we could search for it ourselves?

To avoid the troubles above, the Trading Centre could get a little tweak: Add another section to the "Manage your trades" tab for our private trades, maybe enable them to appear if you search for the current trades of the specific user too, so that the one being offered the private trade isn't left out the loop for when things get messed up for whatever reason, or just for the convenience of it.