ROME (AP) - Pope Benedict XVI gave U.S. President George W. Bush a rare peek on Friday of the Vatican Gardens, a spot where popes pray privately and only special guests are allowed to stroll.

"Your eminence, you're looking good," Bush told the pope as the two shared a warm greeting.

Normally, VIPS are received in the pope's library in the Apostolic Palace. That's where Bush had his first meeting with Benedict in June 2007.

But in an apparent gesture of appreciation for the warm welcome Bush gave him in Washington in April, Benedict welcomed the president and first lady Laura Bush near St. John's Tower in the lush Vatican Gardens.

On a brief tour, Benedict and Bush peered out from a tower balcony, and the president seemed awed by what he saw. The pope pointed out St. Peter's dome as he showed Bush the view.

"This is fantastic up here," said Bush. "Thank you so much for showing me this."

White House press secretary Dana Perino said the two leaders have the kind of relationship that allows them to speak frankly. They were to discuss such issues as human rights, HIV and AIDS in Africa, and poverty around the world, she said.

After their private meeting, they posed for official photographs and exchanged gifts. The president gave the pontiff a photograph of the two walking along the White House colonnade on their way to the Oval Office in April. The picture was presented in a sterling silver frame with an engraved presidential seal.

Benedict gave Bush a framed photograph and four volumes on St. Peter's Basilica. "Perhaps you'll have some time to read it," he told Bush, whose presidency ends in January.

Bush and the pope then strolled through the gardens to see the Lourdes Grotto, which was donated to Pope Leo XIII at the turn of the century by French Catholics. Bush and Benedict sat in wooden patio-style chairs admiring the grotto as Mrs. Bush rejoined them.

Bush and Benedict share much common ground, particularly in opposing abortion, gay marriage and embryonic stem cell research. But they disagree on other issues, including the war in Iraq, the death penalty and the U.S. trade embargo against Cuba.

Benedict's journey to the United States will be best remembered for his repeated comments about the shame of the church's clergy sexual abuse crisis. He held a dramatic private meeting with five abuse victims from the scandal-scarred Boston Archdiocese. In Washington and New York, Benedict sounded themes about truth trumping moral relativism, rich nations' responsibility to care for poor ones, and Catholics' call to live out their faith.

Bush, after his visit to the Vatican, was flying to France where he was giving a speech in Paris to highlight a rebound in trans-Atlantic relations, which were fractured over the war in Iraq. He is also commemorating the 60th anniversary of the start of the Marshall Plan, the massive U.S. aid program to rebuild Europe after World War II.

Bush's vision of a new era of trans-Atlantic relations will last at least seven more months.

The next U.S. president will determine the tenor of future U.S.-European relations, but until then Bush will continue to capitalize on the election of Europe's newest powerbrokers, some of whom are less critical of the war in Iraq than their predecessors.

Bush said he is seeing the outlines of a "new era of trans-Atlantic unity" in the faces of Europe's current leaders like Italian Premier Silvio Berlusconi, British Prime Minister Gordon Brown, German Chancellor Angela Merkel and French President Nicolas Sarkozy.

"I see a commitment to a powerful and purposeful Europe that advances the values of liberty within its borders and beyond," Bush was to say in the speech Friday in Paris. "And when the time comes to welcome a new American president next January, I will be pleased to report to him that the relationship between the United States and Europe is the broadest and most vibrant it has ever been."

A few years ago that wasn't the case. Former German Chancellor Gerhard Schroeder and former French President Jacques Chirac clashed with Bush over the U.S.-led invasion of Iraq. Two of Bush's allies, former British Prime Minister Tony Blair and ex-Spanish Prime Minister Jose Maria Aznar, paid a political price for backing Bush on the war, which fractured trans-Atlantic ties.