Bull crap that Singtel or Police doesn't have the technology to
trace. However, I believe it's the privacy issues that stopped
them. Without a proper court letter, nobody is able to trace a call
or going through call logs.
Your only way - pay the bills or call up and Singtel and explain
your situation. You've gotta prove that you didn't make any calls
from 1.50am onwards.
According to you,
I kept calling and sending msgs
If you still have the logs (if phone is set to keep outgoing
calls and sent messages), kindly provide the proof to Singtel. If
unable to do so, there's not much that Singtel is able to do, nor
the Police, unless you want to make this a legal case.
That way, the Police could obtain a court order and ask Singtel for
the relevant logs. Not much chance that they will be able to trace
who did that, but the call logs will reveal what time the calls are
made and to where.
Considering the legal costs involved, you should discuss with your
family or anyone familiar with the laws. Get their opinions.