Sergei Bagapsh "is due to hold meetings at the Russian Foreign Ministry during which the situation in the Georgian-Abkhaz conflict zone and the opening of a Russian Foreign Ministry representative office in Abkhazia will be discussed," Sergei Shamba told RIA Novosti.
The Abkhaz diplomat said Bagapsh will also discuss economic issues, including a project initiated by former president Vladimir Putin.
In April Putin called for closer ties with Abkhazia and another Georgian rebel region, South Ossetia, and urged the government to develop assistance measures for the breakaway regions, provoking fury from Tbilisi, which accused Moscow of trying to annex the regions.
Bagapsh also plans to meet with his South Ossetian counterpart Eduard Kokoity, also on a visit to Moscow, Shamba said.
Abkhazia and South Ossetia broke away from Georgia in the early 1990s following the collapse of the Soviet Union. The pro-Western Georgian leadership has said it is determined to bring the breakaway regions back under Tbilisi's control.