Yes, it is normal for a baby to have some light bleeding after nasal hygiene as nasal irrigation can irritate the nasal passages. It is important to ensure that the humidity in your home is around 40-45% as dry air can also cause nasal bleeding. Nasal irrigation can be done 3 to 6 times a day during a cold. It is important to consult a doctor if the fever lasts more than 72 hours or is high, if the child's overall condition deteriorates, or if there are signs of respiratory distress such as pale skin, blue lips, repeated coughing up of blood, or difficulty breathing.