Their stay in Sparta was relatively limited, only a handful of days wherein they purchased a number of donkeys and carts before sending them back to the ocean encampment where they could load up the supplies they brought and rejoin the legions before heading off towards the front.
The handful of days were spent in relative peace... well peace for a spartan, Julius was challenge almost daily while undergoing his own military practice, the spartan's meanwhile conducted a mock battle against the legion, which was followed shortly thereafter by a mock battle with the Spartan royal guard against Julius's Praetorians.
The army battle ended in a relative draw as the men became exhausted long before either side could clear have been called a winner, however the Praetorians were handidly the winners in a smaller scale fight where the Sparta phalanx couldn't be utilized fully.