Semimajorium: "The wiki here is not too specific, but from my expirence (tell me if I am wrong) the trained spy will gain 1 intel per level every time it runs an intel mission (security sweep)Add-on to what I said, I don't know the details on this building yet..."

Caprica 9: "When will these building do something???"

Dementia: "Will these buildings train spies from across your empire, or it will it be necessary to have training facilities on every planet that you use to generate spies?
"

Garloo: "Building any spy training facility won't break Isolationists protection, only Espionage ministry will do that.
Spy training buildings can only train spies on the planet where those buildings exist.  The mercinaries guild allows you to sell spies to yourself so you don't need to have spy buildings on each planet."

Lisvenachux Roytulin: "Does it increase Intel of all your spies on the body once built/upgraded, only increase that of newly trained spies thereafter, or giving an increase with each assignment?"