Hello,
For PI release 7.10, the web service AdapterMessageMonitoring is available starting from SP09; for SP08, the patch was released (available in SP08 PL44). So, the only supported way to get in in 7.10 is to update the Messaging System component to the corresponding SP level.
Please refer to the SAP Note 1373289 which describes this limitation.
The operation getLogEntries() that is used to retrieve audit log entries of the message was implemented in this web service in release 7.10 SP17 - please see the SAP Note 1814549. Thus, having patched SP08 / SP09, will not be sufficient to fulfill the requirement for audit log entries querying and the recommendation would be to apply at least SP17 for PI 7.10 systems.
Regards,
Vadim