Hillary Clinton Hopeful Some Taliban Fighters Will Agree to Peace

U.S. Secretary of State Hillary Clinton visits the Orthodox Monastery of Gracanica, just outside Kosovo's capital Pristina, Oct. 13, 2010.

(Hazir Reka /Reuters)

Clinton Drops Hints on Middle East Peace, Grandchildren

Clinton said she's looking for progress on what she called an "emotionally charged" situation in the Middle East, saying both sides need to find a resolution that will lead to the greater security they want, not a continuation of conflict.

"It's fragile because this is a very complicated situation," she said. "And I'm convinced that both President [Mahmoud] Abbas and Prime Minister [Benjamin] Netanyahu want to be the leaders that resolve this conflict."

Although Clinton has kept a busy schedule on her trip, she made time to watch the rescue of the 33 miners in Chile and said she was just as riveted as the rest of the world. She commended Chile's president for leading a "superb cooperative effort."

"I couldn't look away; as the preparations took place. And then as the first capsule went down and the first miner came out," she said. "It was a feel-good moment."

In her time in the spotlight she has visited more than dozens of countries and met with leaders and dignitaries from all around the world.

Related

Forbes Power Women: Who Tops the List?

Eyes on Clinton as She Leads Peace Talks

Chelsea Clinton Says 'I Do'

But Clinton said her fondest trip was one she took as first lady, taking her daughter Chelsea to the Taj Mahal.

"That was a wonderful trip, not only for us personally but for our country," she said. "Because it really started the ongoing efforts that the Bush administration and now President Obama have undertaken to strengthen and deepen our relationship with India, a great partner."

Clinton said that when she was her daughter's age and living in Park Ridge, Ill., she could never have imagined that she'd be married to a president and then serving her country as secretary of state.

"And here we are, sitting, talking about these important issues in the world. That's why I love every minute that I get to represent the United States," she said. " Because I'm a product of how great our country is."

And although Clinton dropped a quick hint that she wants to make a better future for, "some day, grandchildren," she promised she wasn't hinting about her daughter.

She also joked about her must-haves when traveling.

"It includes, obviously my makeup," she said, laughing. Because, you know, when you get as little sleep, and you're as jetlagged as I am, it's very hard not to, you know, scare the children in the morning."

The Associated Press contributed to this story.