To a point near in time, space, or relation
Not far from another in space, time, or relation
To come near in space or time
Not distant in space
Not distant in relationship
Not distant in time
She drew near to him and stopped.
There are bears near by.
Maybe if he saw that she didn't go near the building, he would relax his guard.
The boy played on the grass near by.
We have seen this happen already, and it will get substantially better in the near future.