To have interaction with a headstone or to encounter tombstone or to see a gravestone, when you are dreaming, then such dream has the symbolic significance of forgetfulness. Headstone in the dream indicates aspects of yourself which you need to accept. Maybe you have buried these qualities of yourself which you need to acknowledge. The message on the gravestone also is important. You should consider what is written on it. This message may indicate a statement about conditions of your current life. Also it can be something from your past. Or it is message from the future.
Dream dictionary: Headstone dream meanings
Dreaming of a headstone indicates some childhood traumas you have not yet overcome.
It symbolizes problems and difficulties often created by ourselves and our behavior. If we see the pit in time it indicates that we are still able to avoid the looming danger. If we jump over we will be able to overcome all the difficulties. If we fall into it we will fail in our enterprises. If the grave is inscribed and the headstone has our name or our companies that indicates that we should give up the fight and take a new direction, changing our attitude which has so far been wrong.
Additionally, read the interpretation about headstone.