Coming round to someone's view B1
Push back a bit, then admit they've talked you round.
I'm not so sure about that — softly disagreeNah, I'm not so sure about that. (casual)
I'm not so sure about that, to be honest. (polite)
I see your point, but — concede then disagreeYeah, fair, but I still don't agree. (casual)
I see your point, but I have to disagree. (polite)
come around B2 — change opinionA: I know you don't agree now, but maybe you'll come around to my point of view.
B: We'll see.
Where to go on holiday
A: We should just do a week in Cornwall again.
B: I'm not so sure about that, to be honest. We did Cornwall last year.
A: Yeah, but it's easy. No flights, no faffing about.
B: I see your point, but I fancy somewhere a bit different this time.
A: Go on then, where are you thinking?
B: Portugal? Cheap flights at the minute.
A: Hmm. Actually, you know what, I think I'm coming round to that.
Switching phone networks
A: I reckon you should ditch your current network. They're a rip-off.
B: I'm not so sure about that — I've been with them ages.
A: And paying through the nose for it. Mine's half the price.
B: I see your point, but I can't be bothered with the hassle of switching.
A: It takes ten minutes online, honestly.
B: Right, fine. You've talked me into it — I'm coming round to the idea. I'll have a look tonight.