Additively manufactured triply periodic minimal surface sheet networks with low relative density show significant load-bearing capabilities while fulfilling additional requirements, such as enabling the internal airflow in laminar flow control suction panels. Introducing sheet networks as a core structure in sandwich panels requires fastening points for panel installation. This chapter develops, manufactures and mechanically investigates fastening points for triply periodic minimal surface sheet networks. While two concepts for Gyroid sheet networks are derived from an existing Honeycomb concept, a third concept improves the load-to-weight ratio by functionally grading the Gyroid’s relative density. Pull-out tests were conducted to compare the performance of the insert concepts integrated into the Honeycomb and Gyroid sandwich specimens. The results show that the insert concepts tested on the Gyroid sheet network panels have similar stiffness and pull-out strength compared to the Honeycomb inserts, yielding the design method of the ECSS insert design handbook valid for Gyroid core structures. Only the functionally graded Gyroid concept reaches a significantly higher load-to-weight ratio than the Honeycomb concept, suggesting that functional grading is effective. In contrast to the Honeycomb fastening points, the Gyroid fastening points show a significant load-bearing capacity after the initial failure, which results in a residual load-bearing capability and, therefore, increased system robustness.