As death toll since Monday crossed 90, most of them civilians including women and children, US President Barack Obama offered to broker a ceasefire with Hamas.
Reaffirming US' position that Israel has a right to defend itself and while condemning rocket attacks by Hamas and other Gaza-based militant groups, Obama during a telephonic conversation with Israeli Prime Minister Benjamin Netanyahu said that he is prepared to facilitate a cessation of hostilities, local media reports here said.
On the contrary, the Israeli leader had vowed a series of "additional stages" to operation Protective Edge, his government's response to continued rocket fire on Israeli towns and cities by Gaza militants.
A ceasefire is "not even on the agenda," Netanyahu told members of the influential Knesset Foreign Affairs and Defence Committee, just hours before his call with the US leader.
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A rocket fired from Lebanon struck a gas station near Israel's northern border, the Israeli military said.
Israel military spokesman Lt Col Peter Lerner said it was unclear whether the new front was "symbolic or something more substantial."
Meanwhile, eight Palestinians were killed in Israeli airstrikes overnight, Gaza's Ministry of Health said.
Five Palestinians were killed and 15 injured in Rafah after the Israeli air force targeted the Ghannam family home.
A toddler was also killed in Rafah after being injured by shrapnel from an airstrike while another person was killed in eastern Rafah.
Gaza's Ministry of Health said that 98 Palestinians have been killed and over 600 injured in the Israeli offensive during the past one week.
Over 300 homes have been totally destroyed or severely damaged and around 2,000 Gazans have been made homeless, Palestinian media reported.