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Spawns from (K-8) to (J-9) on the second map of Maze of Shakhrami.

Argus's Spawn Location

Shares a spawn timer with the notorious monster Leech King between 18-30 hours from the last ToD for either Argus or Leech King.

Beginning eighteen hours after their ToD, sixty second windows with intervals of thirty minutes will open. If neither notorious monster spawns during a window, the next one will begin thirty minutes after the start of the previous window.

http://ffxi.allakhazam.com/db/bestiary.html?fmob=2