How can i add 2 networks to 1 NIC Card

I have a question, i work with the College and we have 2 separate departments, and 2 separate server, I want to know, say my DHCP, is the same as the other network which is also DHCP, but the problem is they reserve the IPs as Static to certain machines on there network, now i would like to know how we can connect them to our network, we have an automatic IP address here, and how can we add them to ours if they are manually put in on the other Server? do we have to make ours also static as well? or is there another easier way? to connect certain PCs.