To beg or request in an urgent and anxious manner: Falling to her knees, the princess cried, "Please, kind knight, I beseech you to let me go."

Phillip could hear Cleo beseech the vet not to put her poor dog to "sleep".

1. To worry, harass, distress, or to present a request: The city counselors sought to besiege the mayor to repair the roads before winter.

Reporters would besiege the winner of the contest for interviews until he could stand it no longer and so he finally gave in.

2. In warfare, to surround with hostile armed forces: The king’s army sought to besiege the castle before nightfall.