Prevail on to do
Definition 1 of 1
Pro Tip 1/3Emotional Weight
Using 'prevail on to do' can suggest a significant effort was needed to convince someone. 
She finally prevailed on her father to attend the wedding.
Pro Tip 2/3Strong Resistance
'Prevail on to do' often implies that the person being persuaded was initially reluctant or unwilling. 
It took hours before they prevailed on him to admit the truth.
Pro Tip 3/3Consistent Effort
'Prevail on to do' suggests persistent effort rather than a simple request or casual suggestion. 
The community prevailed on the council to build a new park.