During this election cycle, Netanyahu stuck by the political Israeli tradition of avoiding any direct comment on the US presidential campaign.
Vimont presented France's position on advancing the French initiative, including the convening of an worldwide conference at the end of the year.
Vimont said that promoting the initiative is a test of wills to see if the Israelis and Palestinians truly want to reach a solution.
Netanyahu's emissaries made clear to French Envoy Pierre Vimont, who is in the region for talks with Israeli and Palestinian officials, that Israel will not participate in any global conference convened contrary to that position.
The Palestinians have welcomed the French proposal.
"We have encouraged France to go ahead with its initiative and supported its efforts to have a multilateral conference before the end of the year", PLO Secretary-General Saeb Erekat said after meeting with French envoy Pierre Vimont in Ramallah.
"Israel will not participate in any worldwide conference convened contrary to its position", said Nagel, who is the Acting National Security Advisor and Molho who is Netanyahu's personal envoy.
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"Any other initiative, including this one, will only distance peace from the region", Mr Netanyahu's office said.
Russian Federation has called for a meeting between Netanyahu and Abbas, he said.
Netanyahu has repeatedly called on Abbas to meet for talks, but Abbas has refused unless Israel ends settlement construction and conducts a prisoner release that Netanyahu canceled.
"Israel is certain and expects that France will not advance a conference or process that contradicts the official position of the State of Israel", the statement concluded.
His famously chilly relationship with President Barack Obama grew even worse in 2012 when Netanyahu backed longtime associate Mitt Romney, the candidate who failed to derail Obama's election to a second term.
US mediated peace talks collapsed in 2014. Neither Israel nor the Palestinians were invited to attend the summit, which concluded with a statement calling on the two sides to demonstrate "a genuine commitment to the two-state solution in order to rebuild trust".
Over the past year, Palestinians, many acting alone and often using rudimentary weapons, have killed at least 35 Israelis and two visiting Americans in similar attacks.During the same period, at least 226 Palestinians have died in violent incidents in the West Bank, East Jerusalem and the Gaza Strip.