To persuade or try to persuade by gentle persistent urging or flattery
Reitz as president of the Orange Free State (January 1889) on the death of Sir John Brand, Kruger recognized a new opportunity of endeavouring to cajole the Free State.
You can easily cajole a small child with candies or toys.
cajole other EU members to swallow the draft constitution.
Outside agencies can and should advise and even cajole, but I don't think coercion works.
where the affectionate appellative (employed, however, in all likelihood merely to cajole) signalizes an approach to the genuine spirit of prayer.