Earlier, Lavrov warned the Hamas delegation led by Mish'al that it will have no future unless it transforms into a political institution.
Lavrov also urged Hamas to keep all previous agreements that Palestinian authorities have reached with Israel.
"I have some cautious hope that, having become now a legitimate political factor in the Palestinian and Middle East life, Hamas would reassess its new role…[and] reassess its responsibility before the Palestinian people," Lavrov said.
Russian President Vladimir Putin invited the group to Moscow after Hamas won a surprise victory in Palestinian elections in January.
(AFP, AP, Reuters)