Russian President Vladimir Putin has been seeking to arrange a meeting between the two in Moscow in a bid to restart peace efforts that have been at a standstill for more than two years.
But disagreements over the conditions for such talks have derailed previous efforts, and Netanyahu again called for a meeting without preconditions.
Abbas did not speak of what his conditions would be for such a meeting if any, but Palestinian leaders have previously spoken of three issues.
The Palestinian president, speaking during a visit to Warsaw, said a meeting had been proposed for Friday but an aide to Netanyahu suggested delaying this, leading to it being called off.
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"Netanyahu's representative proposed to delay this meeting to a later date. So the meeting will not happen," Abbas said at a joint press conference with Polish President Andrzej Duda.
"But I am ready and I declare again that I will go to any meeting."
"The real question is whether Abu Mazen is willing to meet us without preconditions and we are hearing conflicting reports on that," he said.
Putin's Middle East envoy has held talks with both Netanyahu and Palestinian leaders in recent days.
Today after talks in Palestinian political capital Ramallah, he said efforts would continue to work towards a future meeting.
"We are very thankful that Abu Mazen accepted in principle the Russian initiative proposed by President Putin," Mikhail Bogdanov said.
Peace efforts have been at a standstill since a US-led initiative collapsed in April 2014.
The last substantial public meeting between Abbas and Netanyahu is thought to have been in 2010, although there have been unconfirmed reports of secret meetings since then.
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