Well, you could create a logon trigger to start tracing as soon as a new session logs on, but depending on how many users you have connecting and what they are doing, you may find your udump directory fills up real quick (you would also have to change MAX_DUMP_FILE_SIZE if it is set to the default).
Better than that, why can't you specify what sessions you NEED to trace, rather than "trace all my database"?
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