I have had the case with extremely low temperature ,where the temperature dropped to 5 degrees without any fault or warning.
Surprisingly by switching off just one pack , the temperature started to rise sagain , and was back to normal for the remainder of the flight. This is not a procedure but it avoided a diversion.
In the old days there was a procedure on QRH "too hot too cold ... "Not sure about the name
This procedure asked the flightcrew to swich off one pack in case of too hot or too cold. This procedure is not actual anymore but practically it still gives positive results