Auto Restart After Power Fail Not In BIOS

[WannaBeSmart]

I have a couple of PC systems that do not have the BIOS option to restart after loss of AC power. It seems like there should be a way to briefly close a relay contact connected to the ON switch when power is reapplied. Anybody have a circuit or idea how to do this?

In case your wondering, these systems are used for voicemail and do have a UPS connected. We live in a rural area and sometimes the power goes out for extended periods.

Thanks