The Mongols in Hungary returned to the steppes after the battle, though it's likely that they would have done so soon enough. Anyway, after news of the death of Ogedei Khan arrived a few months later. Their worst casualty was the death of the great General Subutai, who had been the mastermind of many successful Mongol strategies up until then. Hungary meanwhile was left in ruins, accelerating its incorporation into the Roman Empire proper.