Following the session, Obama told reporters the pair discussed "issues related to Afghanistan and Pakistan; Iran and its attempts to develop nuclear weapons capacity."
"We discussed the Middle East peace process and the importance of moving forward in a significant and bold way in securing a Palestinian homeland that can live side by side with a secure and prosperous Israeli state," the president said.
During their talks, both leaders expressed strong support for getting Iran to "meet its international obligations" regarding its nuclear program and hope the proximity talks will lead to a resolution of the Middle East conflict.
Obama thanked Abdullah for his hospitality when Obama visited Riyadh and pointed out the historic ties between the United States and Saudi Arabia dating back to the meeting 70 years ago between Franklin Delano Roosevelt and King Aziz.
Abdullah echoed the sentiments and said he has heard from people around the world who consider the American people "friends of Saudi Arabia and its people and … friends of the Arab and Muslim people, and … also friends of humanity."
"One hundred members of the Senate sit here in the shoes of more than 300 million Americans as we discharge our duties," committee Chairman Patrick Leahy said. "The Supreme Court stands for all Americans ... it is an awesome responsibility."
If confirmed, President Barack Obama's second Supreme Court nominee -- now the solicitor general -- would be the fourth female justice and third woman sitting on the court, joining Ruth Bader Ginsburg and Sonia Sotomayor.
Police Constable Rob McDonald said several dozen people were taken into custody at a University of Toronto building for allegedly wielding "street-type weaponry" that included bricks, bats, sharpened sticks and bottles of fluid -- "items you don't need for a weekend in Toronto," The Globe and Mail reported. No guns or knives were found, he said.
Canadian TV network CTV reported police fired rubber pellets and blank rifle shots to push back about 100 demonstrators during what apparently had been a peaceful sit-in outside a detention center.
The network said the group was chanting "peaceful protest, peaceful protest" when police moved into the crowd to grab a known anarchist. That triggered a reaction from the group, prompting the police response and more arrests.
On Saturday, an apparent breakaway group of about 70 protesters set fire to police cars, hurled bricks, and smashed store and office windows, the Toronto Star reported.
The protests, which drew thousands of demonstrators to the economic summit, halted downtown subway service much of Saturday and forced the closing of some hospitals and businesses as police corralled demonstrators by the busloads.
Officers, some pelted with bricks or other projectiles, fired tear gas for the first time in Toronto's history at Queen and Peter streets, Toronto Police Chief Bill Blair said. "We have never seen that level of wanton criminality and destruction on our streets," Blair said.
Some protest organizers told the newspaper police had intimidated and arrested peaceful demonstrators.
The Guardian confirmed Jesse Rosenfeld, a Canadian journalist freelancing for the British newspaper, was arrested during the protests Saturday night.
Steve Paikin, host of public station TVOntario's "The Agenda," witnessed the arrest and tweeted that he saw Rosenfeld, 26, being held by two officers while another punched him and drove an elbow into the man's back. Paikin called it "totally unnecessary" use of force and "police brutality."
An agreement signed in California by Cisco and Russian officials puts Russia on course to develop its own Silicon Valley in Skolkovo, near Moscow, the San Jose Mercury News reported.
"Simply put, we're all in," Cisco Chief Executive Officer John Chambers told Medvedev regarding what is intended to be a "wide-ranging series of collaborative initiatives."
California Gov. Arnold Schwarzenegger also was on hand when Cisco demonstrated its video conferencing, business social networking and sports casting technology for the Russian leader.
Cisco will initially pump in $100 million in venture money in Russia. Other facets will include establishing an innovation and venture center in Skolkovo, where Cisco also will put a second global headquarters for its Emerging Technology Group.
Cisco also will put up $175,000 in prize money for winning entrepreneurial teams in Russia.
Medvedev was to tour Apple, Google and Twitter, and speak at Stanford University later in the day.
Medvedev has made high-tech development and research top priorities of his economic agenda and is using his five-day U.S. trip to learn more about the sector, Russian news agency RIA Novosti reported Tuesday.
"There will be a serious program tomorrow: I will inspect the high-tech companies in Silicon Valley. This is very useful for us given our plans for a similar center near Moscow," Medvedev said at a dinner Tuesday in San Francisco with Schwarzenegger.
Russia is building a high-tech research hub in Skolkovo, a Moscow suburb, dubbed Russia's Silicon Valley, RIA Novosti said.
Medvedev said it would benefit Russia and the United States to cooperate in the high-tech arena and that he supports creating a Russian-U.S. working group for that purpose.
"We know you are very interested not only in developing and diversifying the economy but also you are very interested in nuclear disarmament," Schwarzenegger told Medvedev. "I want to tell you how much I appreciate that."
Schwarzenegger and Medvedev also toasted an international partnership to help California's state parks Tuesday, the San Francisco Chronicle reported. Medvedev witnessed Schwarzenegger signing a memorandum of understanding with Russia's Renova Group of Companies that will help preserve California's Fort Ross State Historic Park, a Russian-American settlement dating from the 1800s.
"Russian private investment will help the state," Schwarzenegger said. "It's a great collaboration."
Obama used his prime-time address from the Oval Office to plug an energy bill before the U.S. Senate (similar legislation passed the House of Representatives last June), saying, "The tragedy unfolding on our coast is the most painful and powerful reminder yet that the time to embrace a clean-energy future is now."
The president also said he appointed a former Justice Department official to lead the Minerals Management Service and Navy Secretary Ray Mabus to develop a "long-term strategy for the gulf."
Before the speech Republicans warned it shouldn't be used as a political platform but Obama, nonetheless, used the opportunity to demand action on the energy bill.
"The one approach I will not accept is inaction," the president said.
On Wednesday, President Obama announced BP has agreed to set up a $20 billion fund to compensate those affected by the gulf oil spill.
Obama met with BP Chairman Carl-Henric Svanberg at the White House to discuss the disaster in the Gulf of Mexico since the Transocean oil rig operated by BP exploded April 20, killing 11, and sank two days later, spewing as much as 60,000 barrels of oil a day every since.
BP said in a statement Tuesday: "We share the president's goal of shutting off the well as quickly as possible, cleaning up the oil and mitigating the impact on the people and environment of the Gulf Coast."
BP announced Tuesday it sped up commercial large-loss claims and approved checks totaling more than $16 million to businesses that have filed claims of at least $5,000.