Methods of forming semiconductor device with self-aligned contact elements and the resulting devices

One method discloses performing an etching process to form a contact opening in a layer of insulating material above at least a portion of a source/drain, region wherein, after the completion of the etching process, a portion of a gate structure of the transistor is exposed, selectively forming an oxidizable material on the exposed gate structure, converting at least a portion of the oxidizable material to an oxide material, and forming a conductive contact in the contact opening that is conductively coupled to the source/drain region. A novel transistor device disclosed herein includes an oxide material positioned between a conductive contact and a gate structure of the transistor, wherein the oxide material contacts the conductive contact and contacts a portion, but not all, of the exterior surface of the gate structure.