to start to like someone

I wasn't sure about Sarah at first, but I warmed to her after we'd been out together a few times. 一开始我不太确定是不是喜欢萨拉，可后来我跟她一起外出约会了几次后就对她有了好感。

If you warm to an idea, you start to become interested in or enthusiastic about it.

Unfortunately, I had to leave just as the speaker was warming to his theme. 不巧的是，正当发言者就他的主题越讲越起劲儿时，我不得不离开了。