"I met with Abu Mazen (Abbas) in the past on a number of occasions and I will also meet with him in the future," the Yediot Aharonot newspaper quoted Rivlin as saying.
"We both realise that direct dialogue is the condition for our Middle East to be a safe place," he said yesterday at a three-day conference in Jerusalem for Jewish media.
Rivlin said he received a letter from Abbas after he was elected on June 10 to succeed elder statesman Shimon Peres, whose term ends in late July.
The incoming president is a staunch backer of Jewish settlements in the occupied West Bank and has never hidden his opposition to the creation of a Palestinian state.
Settlements were a key issue that derailed the latest round of US-backed peace talks in April after nine months of fruitless negotiations.
Rivlin, a former military intelligence officer and lawyer by profession, was quoted in 2010 as saying he would "rather accept Palestinians as Israeli citizens than divide Israel and the West Bank in a future two-state peace solution.
