Dic: come around (or come round) to an idea

• It looks like they are coming around to our way of thinking. 
• She will eventually come round.
• It took him a while to come around to the idea. 
• Don't worryㅡshe'll come round eventually.

■ If you come around or come round to an idea, you eventually change your mind and accept it or agree with it.

■  to change your opinion so that you now agree with someone or are no longer angry with them

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CF 1: This figurative usage above can be well understood in accordance with a more literal usage:

• Beryl came round this morning to apologize.
• Quite a lot of people came round to the house. 
• I'll come around later and see how you are.
• Why don't you come round for lunch.

■ If someone comes around or comes round to your house, they call there to see you (=come over).

■ to come to someone's home or the place where they work in order to visit them (=come over)

...... Cobuild, LDOCE

CF 2: ...