Knesset member Michal Woldiger expressed an opinion contrary to much of Israel's senior leadership - that she would support ending the war for the hostages's safe return.
Current progress in the talks remains stuck for the time being, as the two sides remain at an impasse over a couple of Israeli demands.
The rule of silence does not apply to the families of the hostages, who need to speak out to keep the issue on the agenda and ensure it remains a top priority.
Netanyahu is anxious to avoid starting off on the wrong foot with the grievance-obsessed president-elect, who recently told Time magazine that he doesn't really trump the prime minister.
“Matan, your mother is here, and so are we until you return," protester signs read.
One issue that remained unsolved is that Hamas has yet to formulate a list of hostages it is willing to release from captivity in Gaza.
Bipartisan press conference calls for swift hostage release amid emotional family pleas.
Michael Levy recounted the last time he heard his brother's voice and gave a heartfelt plea to the United Nations Security Council.
Asharq Al-Awsat cited a Hamas official as stating that a deal was "imminent," with the main points having already been agreed upon.
"I know what they're going through right now - you cannot abandon them for one more day. Leave no one behind," said former hostage Ilana Gritzewsky.