Sources said that Egyptian authorities received several messages from Israel urging the former to intervene promptly to deter Hamas and other Palestinian factions from intensifying protests along the Gaza-Israel border.
The Palestinian group Hamas denied that pressure from neighbouring Egypt had resulted in protests dying down, saying that they will continue, despite dozens being shot dead by Israeli snipers on Monday.
While Israel has found itself under global condemnation, it has pushed back against criticism with the backing of the US.
"The goal of these riots is one; storming the security fence between Gaza and Israel to attack Israeli civilians".
Israel will assassinate Hamas' leaders if the security situation on its border with Gaza continues to deteriorate, Egypt warned on Sunday.
Egypt did not immediately respond to Katz's comments, which Hamas dismissed as false. "It is imperative to keep the marches a peaceful, civil protest", Sinwar said, which is why Hamas is careful not to arm protesters, according to him.
But this week, the border region has been markedly quieter than Monday, when 61 Palestinians were killed and 2,400 injured by Israeli snipers and tear gas.
"When you are in possession of weapons that were able to withstand the occupation [Israel] in the wars of 2006, 2008, 2012 and 2014..."
The Hamas leader also slammed Fatah for what he indicated he considered to be its genuine peaceful resistance, claiming this was not what the Palestinians wanted.
Protests erupted on Monday after the US opened its embassy in Jersusalem, with more than 35,000 Palestinians gathering along the security fence.
These too have been brutally suppressed by Israeli forces, with 117 people Palestinians killed over the past six weeks.