The phrase "come near to" can be replaced by a variety of synonyms that convey the same idea. Some examples include "approach," "get close to," "draw near," "move towards," "close in on," "converge on," "near," "edge towards," "advance towards," and "come within range of." These words all suggest a gradual movement towards a certain point or destination, whether literal or figurative. Choosing the right synonym will depend on the context and tone of the sentence, but all provide an alternative way to express the concept of getting closer to something or someone.