Hollande was set to hold talks with Cameron by telephone at 6.30 pm French time, the president's office told AFP.
The talks will come after similar discussions between Hollande and Merkel due at 2pm French time, after the French leader on Thursday warned of the threat of "civil war" in Egypt.
"Everything must be done to avoid a civil war," Hollande said, as a crackdown by security forces on supporters of ousted Islamist president Mohamed Morsi has left over 500 dead.
Hollande called for an immediate halt to the bloodshed, his office said in a statement, echoing strong international condemnation of Wednesday's day of violence, the worst in Egypt in decades.
Hollande summoned the Egyptian ambassador to convey France's "great concern over the tragic events", the statement said, adding that the president urged Egypt's rulers to swiftly end a month-long state of emergency imposed in the wake of the crackdown.
Story continues below…
"France is committed to finding a political solution and calls for elections to be held as soon as possible, in line with the commitments made by Egypt's transitional authorities," it said.
The unrest kicked off at dawn on Wednesday when security forces moved in to break up the protest camps of Morsi loyalists in Cairo, and the violence quickly spread across the country.