The Egyptian Popular Current has condemned Saturday's attack on Gaza by Israeli tank shells that left six Palestinians dead and 32 injured.
"We demand President Morsi takes a decisive stance against these attacks. Post-revolution Egypt and its president cannot repeat the shameful attitude of the Mubarak regime [towards the Palestinians]," read a statement issued on Sunday.
The group called for a protest on Monday at 7pm at Talaat Harb Square in downtown Cairo.
Israel, with the aid of the Mubarak regime, placed Gaza under siege in 2006.
The statement added that post-revolution Egypt would not accept the killing of Palestinians by Israel airplanes fuelled with Egyptian natural gas.
In April, Egypt terminated its unpopular 20-year natural gas export contract with Israel. However, questions remain over the application of the decision.
Moreover, the statement denounced the controversial letter sent by Egypt's new envoy to Israel on 17 October that addressed Israel's president as "a great and a good friend," and called for the envoy to be removed.