Suppose your GF has been upset with you, so has stoped talking with you. Now you are trying to persuade and beg her to forgive you. So you continue ____ until she forgives you and reconciles.

Which verb or phrase can be used in the blank (above) so that it will describe your action?
( I want to speak about what these men are doing in these pictures.)

PS:
I don't mean "apologize". I mean something that would imply "try to make someone whom you have made upset to forgive you, by saying nice things about them, or by promising that you won't never make them upset again, by admitting your mistakes, by giving a nice gift, by begging a lot, or by saying "Don't leave me please, let's forget about this!", etc.

I have found "to grovel at somebody's feet", but I don't think these men are groveling at their GF's feet. :)