I want to connect my office digital phone to my computer so that I can use my bluetooth headset. Can I do it?

I have a digital multiline PBX system at my office. I think it's a LUCENT/AVAYA Partner ACS System. I also have a laptop that has bluetooth built in. I also have a bluetooth headset that I normally use with my cell phone. I'd like to somehow connect my phone system with my computer so that I can that use my bluetooth headset to speak on my phone. I'd also like to perhaps record my phone conversations through my computer. Does anyone know what product I need to purchase so that my digital phone system will somehow connect to my laptop?