World powers had hoped to see a truce take effect on Friday but have struggled to agree on the terms.
Deadly attacks seen a big blow to peace efforts.
Rifi accused Hezbollah of disintegrating the state and placing Lebanon's sovereignty and its ties with Arab nations in the "worst dangers".
Kerry said the international community was "closer to a ceasefire today than we have been."
Al Badwawi was killed in a military vehicle accident while preparing to take part of the Saudi-led coalition's Operation Restoring Hope in Yemen.
Assad defiantly pledged to retake the whole of the country.