The phrase "to come over" can have several meanings depending on the context in which it is used.
1) In a physical sense, to come over means to move from one place or position to another, either by walking, driving, flying or any other mode of transportation. For example, "I had to come over quickly because my friend was sick."
2) Figuratively, the phrase can also mean to overcome something such as an emotion, a situation or even physical symptoms. An example would be: “After some time, she finally came over her fear of public speaking.”
3) In a social context, "to come over" means to visit someone at their place, either for a short while or for longer period of time. For instance, "I am coming over to your house tomorrow."
4) Finally, the phrase can also mean to accept an invitation or agree with something. An example would be: “After some persuasion, she finally came over to my point of view.”