"I also applaud the Palestinian Authority's continued security cooperation with Israel".
However, they expect that more pressure would be exerted on the Palestinian side to make concessions, in terms of the way Trump Administration may handle the peace negotiations.
Mr Netanyahu rejects the 1967 frontier as a baseline for border talks and rules out a partition of Jerusalem where Palestinians hope to establish a capital. The Netanyahu government, like those before it, have expanded settlements on war-won lands, despite US appeals to curb construction. "This is something we fervently share with the president".
"We are not going to continue financing the Hamas coup in Gaza", he told the Voice of Palestine radio station. "They name their schools after mass murderers of Israelis and they pay terrorists".
"We are aspiring and want to achieve our freedom, our dignity, and our right to self-determination", said Abbas.
Netanyahu and Abbas have repeatedly declared their willingness for face-to-face talks, and blamed each other for dodging the proposed September 2016 meet-up in Moscow.
Israel's government has a mixed and uncertain position on the two-state solution as it increases the controversial settlements in population in occupied territories while keeping the numbers the same.
During his four months in office, Trump has struggled to translate his skill in achieving business deals into effective governance.
North Korea: New long-range missile can carry heavy nuke
Schilling said the latest test means North might be just a year away from developing an intercontinental ballistic missile (ICBM). But according to US officials, missile launches like this one are a deal-breaker for any hypothetical dialogue.
Trump said the Palestinians and Israelis must work together to reach an agreement that allows both peoples to live, worship, and thrive and prosper in peace. "This is something Israel is always ready for.", Mr Netanyahu said.
The PA official's statements also follow calls by Israeli Prime Minister Benjamin Netanyahu and US lawmakers for the PA to end the terror payments.
"There's such hatred, but hopefully there won't be such hatred for very long", Trump said, speaking alongside Abbas in the Roosevelt Room. Both US and Israeli officials have declined to comment on whether there will be a meeting between the three. Many Palestinians have become disillusioned with Abbas' strategy, after two decades of intermittent USA -led negotiations ended in failure while Israeli settlements keep expanding.
He told the radio station that the Palestinian prisoners were victims of Israel's control over the West Bank.
As an "intermediary", "referee", "facilitator", "lead to peace", Trump stressed that repeated failures in the past did not necessarily mean that the task was impossible.
USA officials had said Mr Trump would press Mr Abbas to end payments to families of Palestinians in Israeli jails.
In a conference call with reporters earlier this week, former negotiator Amb. Abbas has been in power since 2005, and new elections were blocked partly because of a rivalry with the Hamas militant group.
This comes in marked contrast to the previous administration of President Barack Obama, who stated on several occasions that the main obstacles to an Israeli-Palestinian peace agreement wee the Jews living in Judea and Samaria.