Brownback withdrew from the race last week, and the Republican candidates have been "seeking his endorsement," according to the AP/CBS News.
Giuliani and Brownback spoke with reporters following their meeting. "Justices are key," Brownback said, adding, [Giuliani has] stated publicly many times about his support for strict constructionists like" Chief Justice John Roberts.
Brownback said he believes that if elected president, Giuliani would appoint Supreme Court justices who take a limited and conservative view on abortion, like Roberts. Asked whether he would endorse an abortion-rights candidate like Giuliani, Brownback said, "I don't know that he would ... describe himself as a pro-choice mayor or a pro-choice candidate."
Giuliani, when asked how he would describe his position on abortion, said, "You know what I am," adding, "I've described it in the past. I've opposed abortion. I'd like to see a society in which there is no abortion. I think you have to get there by changing people's minds and hearts. I'm not in favor of changing the law and the right that presently exists."
However, Giuliani added that he is in "favor of everything else that would limit the number of abortions, that would increase the number of adoptions and that would move us in the direction of many fewer abortions. And if we could get to no abortions based on people's decision-making, I'd be in favor of that".
Source: Kaiser Family Foundation