to cause someone to become involved in an argument or a difficult situation

She had no desire to embroil herself in lengthy lawsuits with the tabloid newspapers. 她不想卷入和那些小报的漫长的官司纠纷中。

The United Nations was reluctant to get its forces embroiled in civil war. 联合国不愿让其维和部队卷入一个国家的内战中。

Compare: get caught up in something (catch)