The Palestinians strongly rejected the proposal, and Israel abandoned its annexation plans when Gulf Arab states normalised ties with it under US-brokered agreements.
Trump has taken credit for securing a ceasefire deal in the Israel-Hamas war in Gaza, with his Middle East envoy Steve Witkoff taking part in negotiations that finally produced an agreement that came into effect on Sunday.
A two-state solution has been the basis for the peace negotiations between Israel and the Palestinians going back decades, but Israeli Prime Minister Benjamin Netanyahu has repeatedly refused to countenance an independent Palestinian state.
He has also rejected any role for the Ramallah-based Palestinian Authority, which Abbas leads, in a post-war Gaza Strip.
On Friday, Abbas had said the PA was ready to assume “full responsibility” for Gaza.
Jordan’s King Abdullah II also congratulated Trump, saying: “We greatly value our partnership with the United States and are committed to working with you towards a more prosperous and peaceful world.”
-Agence France-Presse