1. change somebody's position or opinion on something
come around to somebody's way of thinking
To come around is a phrasal verb with a number of meanings. To come around can mean to change your opinion or point of view on something. To come around can also mean to become conscious again after being knocked out, fainting or a surgery. If someone comes around to your home, it means they visited you. If an event or date comes round it means that the time has arrived for a regular or predictable event.
2. visit someone
come around for a chat
If someone comes around to your home, it means they visited you.