Former New York Mayor Rudy Giuliani's campaign is looking for political cash this week in an unlikely place: Resource-rich Kazakhstan, where the Republican presidential front-runner's law firm does substantial business in the often murky oil, gas and minerals industries.

A fund-raising event tomorrow in Almaty, the commercial center of the former Soviet republic, will mark the campaign's third foray overseas for cash. Last week, Mr. Giuliani flew to London for a fund-raising luncheon where about 100 Americans living in Europe...