The wear down

[Monty]

When a man tells a woman that he is not interested in her in a romantic manner, but instead of going away, the woman hangs on, pops up [uninvited], and helps with anything the man needs. She uses these tactics in hopes that she can wear down the mans resolve, [ensuing] the relationship she wanted. Sometimes the woman will also resort to the [drunken hook-up] in addition to the wear down to help her cause.

You can find this method being used by the girl cleaning up after a frat/sports team party, the woman staying late at work helping with someone elses project, and the chick at the end of the bar asking the bartender if he needs ice.