The present study examined the application of three cognitive theories—the Theory of Mind (ToM) deficit, the Theory of Executive Functions (EF) and Weak Central Coherence Theory (WCC)—in children with Autism Spectrum Disorders (ASD). 9 children with ASD and 18 children of Typical Development (TD) participated in the study. According to the results, most of the children with ASD showed significant deficits in the development of ToM, while a few of them succeeded in all the ToM tests. With regard to EF theory, the children with ASD did not present a deficit in any of the four executive functions in which they were examined, since their performances were similar to those of TD children. As for the WCC theory, the results cannot support the existence of a deficit. However, it seems that children with ASD struggle in respect of global precedence when a local interference effect is present.