There was another, toga-like Roman ceremonial garment called the "trabea triumphalis," which, as depicted on diptychs from the 4th through 6th centuries CE, was draped toga-style and worn by Imperial consuls and, in Rome and Constantinople, possibly praetors, when presiding over games in the Roman Circus or Constantinopolitan Hippodrome. The "trabea triumphalis" was heavily embroidered, dyed red or purple, and draped almost exactly like a toga. The 5th-century CE grammarian Servius also describes a "toga trabea" which was dyed red or purple and was worn on various ceremonial occasions. The "trabea triumphalis" might actually have been a more ornamented version of the 5th-century "toga contabulata," since "trabea" in Latin is related to the Latin word "trabs" which means a flat board or beam, and may refer to the flat, board-like draping of the "toga contabulata."
At any rate, the "trabea" was worn by Byzantine-Roman emperors from at least the 7th century CE onwards into the Middle Ages, and developed into what in Byzantine Greek was called the "loros" and can be seen on Byzantine-Roman coinage, diptychs, and mosaics from the 7th century CE onwards.