If an activity or situation spills over, it begins to affect another situation or group of people, especially in an unpleasant or unwanted way.

I try not to let my work spill over into my life outside the office. 我努力不让我的工作影响到办公室之外的生活。

The conflict threatens to spill over into neighbouring regions. 冲突可能会波及到邻近地区。

to continue for a longer time than expected

The talks between the two leaders look likely to spill over into the weekend. 两位领导人之间的会谈看来很可能会持续到这个周末。