During an oral soft tissue grafting procedure, a periodontist transplants a small piece of specialized tissue from one part of your body to another that requires extra tissue because of trauma or recession.  The most common grafting procedure performed by Dr. Mandana Nematollahi is a gum graft, where she takes tissue from the top of your mouth and grafts it to the part of your smile where your gums have receded. causing sensitivity and instability in your teeth.