Type 1 diabetes (T1D) is an autoimmune disease in which pancreatic beta cells are destroyed, affecting insulin production and causing an imbalance in glucose utilization. This disease has been associated with various cognitive deficits, including working memory. The brain’s resting state functional connectivity, particularly the default mode and salience networks (DMN, SN), correlates with working memory performance. Objective. To analyze the characteristic activation patterns in resting state of the DMN and the SN, seeking differences between a group of patients with T1D and a control group before and after performing a visuospatial working memory task. Methodology. Resting-state functional magnetic resonance imaging studies were conducted on 18 T1D patients and 18 control subjects matched by sex, age, and education. Correlation matrices of the functional activations of the DMN and SN were obtained, and an exploratory analysis using graph metrics was conducted between the two groups. Results. Significant differences were found between the groups in regions of interest belonging to both networks. We observed differences in right angular gyrus and posterior cingulate in the DMN network between groups since the first resting, nevertheless, these differences did not change after performing the cognitive task. Regarding the SN network, the differences were found only over the left Insula, but only in the second. Conclusion. Graph theory seems to be a good methodology to explore possible differences between groups. However, it is important to implement more metrics to understand the role of these brain regions within functional connectivity in resting networks.