Beseech:
to ask for something in a way that shows you need it very much:
Stay a little longer, I beseech you! [Cambridge Dictionary]
Noted in “Fact-checking lawmakers’ claims during the Mueller hearings,” Salvador Rizzo and Glen Kessler, WaPo:
Former White House chief strategist Stephen K. Bannon told investigators the purpose of the meeting was not a job interview but to have Mueller “offer a perspective on the institution of the FBI,” according to the special counsel’s report, and “although the White House thought about beseeching Mueller to become Director again, he did not come in looking for the job.”
I freely confess the thought of the Trump White House “beseeching” Mueller to take the job of Director of the FBI amuses me quite a lot.