Then-Senator Obama and Palestinian President Mahmoud Abbas in 2008 (241157/Flickr)

Alongside Palestinian President Mahmoud Abbas in Ramallah, Obama said that peace negociations between Israel and Palestine could be successful if both parties would "think anew," the L.A. Times reported. 

"It is not fair that a Palestinian child cannot grow up in a state of their own," Obama said.

The meeting came amidst a tense morning-- Palestinian militants in Gaza fired two rockets into southern Israel just hours earlier; President Obama was quick to condemn the attack, though Abbas did not immediately comment.

The attack ends a three-month long ceasefire between Israel and Hamas, the Palestinian group that runs the Gaza Strip.

In recent days, Abbas appears to have become more open to a new round of negociations. The New York Times reported that Abbas may drop a long-held precondition to talks--Jewish construction along the West Bank-- if Netanyahu gives him a private assurance such settlements were stopped during talks.

Obama is on the second-day of a three day trip to Israel and the West Bank. On Wednesday, he met with Israeli Prime Minister Binyamin Netanyahu, using the occassion to show America's continued support for Israel and warn Iran on its continued nuclear weapon program.

For more of Neon Tommy's coverage on Israel and the Middle East Peacetalks, click here.

Reach Executive Producer Salomon Fuentes here; Follow him on Twitter here.