Definitely helps to know where in Melbourne you are.
On a bad day it can take 2 hours just to get from one side of Melbourne to the other.
Other than Total Fire Ban days,
I'm pretty sure most State Forests ( http://tinyurl.com/dsef2801
allow camp fires and its easy enough to check rules for individual
National/Coastal/State/Regional Parks etc.http://www.parkweb.vic.gov.au/
Also have a look on http://ozcamps.net/