Dic: open up (to something)

■ open up to something: to become more accepting of someone or something.

• Finally, he opened up to the suggestion that he should leave. 
• Finally the boss opened up to the notion of Tom as a manager

... http://idioms.thefreedictionary.com/open+up+to

■ cf. open up: 1. (informal) BrE (also open out to sb) to talk freely and openly about what you feel or think

• Will you open up to me and tell me what's worrying you?

... http://engdic.daum.net/dicen/contents.do?query1=ER00027110

■ some other examples

• Along the way, the two begin to open up to each other, finding a small friendship.
• The decision to remove the slogan comes as Sam's Club attempts to remove itself from serving just small businesses and open up to more individual customers.
• This reassures their bonding with you and allows them to open up to issues they may need to talk to you about.
• Stop treating people like 'fluff' and listen to them, and reality will open up to you. 

.... 다음사전