At the same time, Trump has urged Israel to hold back on settlement building in the West Bank, a longstanding concern of Palestinians and the international community.
Since then, Israel has officially sanctioned the first new settlement in the occupied West Bank in over 25 years.
Palestinians are watching the meeting between Abbas and Trump closely, including the leader of the Hamas movement Khaled Meshaal, who called on Trump to break with past approaches to Middle East peace.
"This is a historic opportunity to pressure Israel... to find an equitable solution for the Palestinian people," he told CNN.
The United States has for several decades played a mediating role in the Israeli-Palestinian conflict, while remaining Israel's main supporter and benefactor.