The presence of Nb-rich, brittle, intermetallic Laves phase in Inconel 718 weld fusion zones is detrimental to weld mechanical properties. In the current work, autogenous bead-on-plate gas tungsten-arc welds were deposited in 2 mm thick IN 718 sheets. The welds were subjected to the following heat treatments: i) direct aging, ii) solution treatment at 980°C followed by aging, and iii) solution treatment at 1080°C followed by aging. Detailed microstructural characterisation was carried out using optical, scanning electron and transmission electron microscopes and electron probe microanalysis. The microstructural features in as-welded and post-weld heat treated conditions are discussed. The results show that post-weld heat treatments alone cannot provide satisfactory solution to the Laves problem in Inconel 718 gas tungsten-arc welds.