Wiktionary
come round
vb. 1 To change direction. 2 To change one's opinion to a prevailing one. 3 To return to a former condition. 4 # To recover consciousness, to come to 5 # To cease anger or hostility. 6 To visit someone's home or other regular place.
WordNet
come round
v. change one's position or opinion; "He came around to our point of view" [syn: come around]