This question already has an answer here:
People witnessed the death of Batman. They do not know that Bruce Wayne was Batman. However, the death of Bruce Wayne himself would be highly publicized, due to his stature. It would be known to the entire world.
How could he fake a death and then be present at a cafe in Italy without publicity or consequences?
This is what Alfred dreamed of, so there is a possibility that this is Alfred's imagination but the closing scenes with Fox and Gordon suggest that Bruce Wayne is alive.