"We appreciate the invitation for dialogue initiated by Parliament Speaker Nabih Berri," Larijani said at a joint press conference with Berri in Beirut.
"The invitation gave space for dialogue among moderate political powers in the Lebanese arena," he added.
Larijani came to the Lebanese capital earlier Monday from Damascus, where he had met with Syrian President Bashar al-Assad one day earlier.
"The invitation will narrow the gap among all powers and solve many pending political problems," he added.
Lebanon has remained without a president since former Michel Suleiman's six-year term expired in May.
Parliament has so far been unable to elect a new president, with MPs from the Hezbollah-led March 8 alliance consistently boycotting the assembly vote.
The alliance has refrained from officially backing either of the two candidates to have expressed an interest in assuming the post, namely Lebanese Forces leader Samir Geagea and MP Henri Helou.
The political deadlock comes as the ongoing conflict in next-door Syria continues to fuel sectarian tension inside Lebanon, where Hezbollah's military support for the Syrian regime has drawn condemnation from local Sunni groups.
Berri and Druze leader Walid Jumblatt have called for dialogue between the two rivals, an invitation that has been endorsed by both sides.