The young defender has been farmed out for the rest of the season in order to gain valuable first-team experience at the Serie B side
Brescia were looking to add some fresh blood to their squad ahead of the second half of the campaign, and coach Alessandro Calori has now attained the reinforcements he was after.
Caldirola is a product of the Inter youth academy, but has so far been unable to secure regular first-team action at the Giuseppe Meazza.
The Italy Under-21 star was shipped out on loan to Eredivisie side Vitesse in the 2010-11 campaign, but returned to the Nerazzurri last summer.
His only official appearance for Inter to date was in the 2-1 Champions League defeat at home to CSKA Moscow in December 2011.