For Abbas: just and lasting peace based on the two state solution
 
For Netanyahu: parties have much work to do - achieve peace (no mention of it either being "just" or "lasting" or basis of "two state solution")
 
The White House
 Office of the Press Secretary
 For Immediate Release August 01, 2013

 http://www.whitehouse.gov/the-press-office/2013/08/01/readout-president-s-call-palestinian-authority-president-abbas
 
Readout of the President’s call with Palestinian Authority President Abbas

 President Obama called Palestinian Authority President Abbas to commend him for his leadership and courage in resuming final status negotiations with Israel. The President reaffirmed that the United States stands ready to
 support the parties in achieving a just and lasting peace based on the two state solution, and will continue to work closely with the Palestinian Authority to achieve this goal.
 
The White House
 Office of the Press Secretary
 For Immediate Release August 01, 2013

 http://www.whitehouse.gov/the-press-office/2013/08/01/readout-president-s-call-israeli-prime-minister-Netanyahu
 
Readout of the President’s call with Israeli Prime Minister Netanyahu President Obama called Prime Minister Netanyahu today to commend his leadership and courage in resuming final status negotiations with the Palestinians. The President underscored that while the parties have much work to do in the days and months ahead, the United States will support them fully in their efforts to achieve peace. The two leaders agreed to continue the close coordination between the United States and Israel on this and other regional issues.