Here's what little I've found. Feel free to add to the thread.
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Abortion (Mexico City policy): Sotomayor ruled against an abortion rights group in its challenge to the so-called "Mexico City Policy," which states that nations that receive U.S. funds may neither perform nor promote abortions. The abortion rights advocates alleged that the policy violated their First Amendment, due process, and equal protection rights. Sotomayor upheld a lower court ruling dismissing the case, saying that the group's First Amendment rights had not been violated and that it had not been denied due process. On the equal protection claim, Sotomayor wrote, "The Supreme Court has made clear that the government is free to favor the anti-abortion position over the pro-choice position, and can do so with public funds." Sotomayor did not address the underlying abortion issue. Center for Reproductive Law and Policy vs. Bush, 304 F.3d 183 (2002)
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http://www.cnn.com/2009/POLITICS/05/26/sotomayor.resume/index.html