"Good work by all involved,"Mr Gaughan wrote.
"I also received a call this evening from the Sec DHA[Secretary of the Department of Home Affairs] who is fully supportive of the actions of the AFP and ask[sic] me to pass on my thanks to the team involved.
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"Well done -- tomorrow is another day."
The email was among documents obtained by South Australian senator Rex Patrick under Freedom of Information,the ABC reported.
The federal police raid on the Canberra home of News Corp reporter Annika Smethurst related to an article based on leaked government information.
With questions raised about his judgment,Mr Pezzullo has defended the telephone call.