Local Solutions Enabler to many SYMAPI servers

Excuse me if this is rudimentary, but I find myself needing some basic info on Solutions Enabler product functionality.  My environment consists of multiple vBlocks, each with their own fenced off SAN.  Each vBlock has its' own solutions enabler VM with an in-band raw device mapping to the gatekeeper devices on their respective VMAX.  What I am having trouble seeing is whether or not it's possible to have a centralized SE client that has IP connectivity to each of the SYMAPI servers running for each array.  The thing I cannot do (for support reasons) is zone GK devices to a single centralized SE server.  If this configuration is impossible, no worries, I'm just looking for confirmation.

Any input you could provide would be much appreciated!