Miranda and Yuto Nagatomo were sent off as Inter's Champions League hopes were hit by a 2-1 home defeat at the hands of Torino on Sunday.
Torino shocked nine-man Inter with a 2-1 Serie A victory at San Siro, the slim hopes of Champions League qualification for Roberto Mancini's men severely damaged as a result.
The visiting side had to come from behind as Inter captain Mauro Icardi gave his team an early lead, converting a penalty harshly awarded for handball against Torino defender Emiliano Moretti.
Torino levelled shortly after the interval when Cristian Molinaro finished with aplomb after an excellent team move and Inter's task then got harder when Miranda was sent off, receiving his second yellow card for a late tackle on Andrea Belotti.