Clinton added that she would reiterate her message to Morsi when they meet later today.
"President Obama has emphasized the same points in his multiple conversations with President Morsi of Egypt, and we appreciate President Morsi's personal leadership and Egypt's efforts thus far," she said. "As a regional leader and neighbor, Egypt has the opportunity and responsibility to continue playing a crucial and constructive role in this process. I will carry this message to Cairo tomorrow."
The rocket fire between Israel and Hamas, which began seven days ago, has claimed more than 138 Palestinian lives and five Israeli lives. Half the Palestinian deaths were civilians; four of the five Israelis were civilians. A ceasefire, if reached, would bring a halt to the worst violence between Gaza and Israel in four years.
ABC News' Lama Hassan and Dana Hughes contributed to this report.