In addition to all the others I must say that even if you can reproduce an OutOfMemory error, and find out where it occurred, you probably haven't found out anything worth knowing.
The trouble is that an OOM occurs when an allocation can not take place. The real problem however is not that allocation, but the fact that other allocations, in other parts of the code, have not been de-allocated (de-referenced and garbage collected). The failed allocation here might have nothing to do with the source of the trouble (no pun intended).
This problem is larger in your case as it might take weeks before trouble starts, suggesting either a sparsely used application, or an abnormal code path, or a relatively HUGE amount of memory in relation to what would be necessary if the code was OK.
It might be a good idea to ask around why this amount of memory is configured for JBoss and not something different. If it's recommended by the supplier than maybe they already know about the leak and require this to mitigate the effects of the bug.
For these kind of errors it really pays to have some idea in which code path the problem occurs so you can do targeted tests. And test with a profiler so you can see during run-time which objects (Lists, Maps and such) are growing without shrinking.
That would give you a chance to decompile the correct classes and see what's wrong with them. (Closing or cleaning in a try block and not a finally block perhaps).
In any case, good luck. I think I'd prefer to find a needle in a haystack. When you find the needle you at least know you have found it:)