Positional cyanosis is an uncommon finding in young patients. We report three infants who presented with positional cyanosis due to a pedunculated tumour in the right heart. Arterial desaturation was the result of right-to-left shunting at the level of the oval foramen caused by obstruction and/or insufficiency of the tricuspid valve. The obstruction at the level of the tricuspid valve was variable because of the pedunculated nature of the tumours, which gave them considerable mobility. Hence, the degree of right-to-left shunting was dependent on the position of the patient. In all the patients, surgical resection of the tumours resolved the cyanosis.