The area in which Kaltukatjara is located is known as '. It contains several old sacred sites associated with the (Mulga Seed Dreaming). Part of this Tjukurpa, which is restricted to men, extends east through Uluṟu, where the Wintalyka men became involved in a feud with the Mala people. According to the legend, the Mala had travelled from the north to perform ceremonies at Uluṟu with a sacred artefact. On learning of this artefact, the Wintalyka men invited the Mala men to attend ceremonies at Kikingkura, but the Mala refused. Feeling insulted, the Wintalyka decided to punish the Mala by conjuring an evil spirit to haunt them. At Pulpaiyala, a soakage close to what is now Kaltukatjara, they conjured ', a great and terrifying spirit resembling a dingo. Kurpany chased the Mala men from Uluṟu and off across the desert to the south.