To ask for something in a way that shows you need it very much. (Cambridge Dictionary)
To beg for urgently or anxiously. (Merriam – Webster)
To request earnestly: Implore. (Merriam -Webster)
If you beseech someone to do something, you ask them very eagerly and anxiously. (Collins Dictionary)
Ask (someone) urgently and fervently to do something; implore; entreat. (Oxford Dictionary)
Beseech. Visual Vocabulary.
Words associated with beseech.