The temps in the BIOS will always be higher because the CPU cannot go into low-power idle mode until it fully boots into Windows. The CPU is running at full speed, so temps will gradually increase until a certain point and then they will stabilize. 60-65ºC is a fairly common upper temp when in the BIOS using the stock cooler. After-market coolers will be better, but the temps will still be higher than normal in the BIOS.
In other words, your system is working normally.