Before the visit by Sergei Shoigu, secretary of the Russian Federation Security Council, the Russian news agency RIA Novosti said he would discuss ways to deepen a defence partnership with Indonesia's defence minister Sjafrie Sjamsoeddin.
The two officials would also discuss "co-operation in other areas of mutual interest", the agency said, citing a Russian government statement.
Shoigu's visit, the first stop in a five-day Asia tour that also includes Malaysia, comes after Indonesia - the world's most populous Muslim-majority country and Southeast Asia's largest economy - was admitted as full member to the BRICS bloc of developing economies, an alliance where Russia is one of the founding members.
Indonesian officials said before Shoigu's arrival that the sides would exchange views on international and regional issues as Russia hopes to deepen its defence engagement with Southeast Asia countries.
Shoigu will also pay a courtesy call on Indonesian president Prabowo Subianto before departing for Malaysia on Wednesday.
Shoigu declined to comment to the media after his meeting with Sjamsoeddin.
Indonesia's Defence Ministry spokesman Brigadier General Frega Wenas told reporters that Moscow and Jakarta "share an ambition to further broaden and deepen our defence relationship" and that Shoigu's visit reflected the highest level commitment to bilateral ties.
Indonesia's and the Russian navy held a joint drill in November in Indonesia's East Java Sea.
Also, Jakarta has purchased Russian defence equipment, including Sukhoi fighter jets, BTR-80A military transport armoured and other combat vehicles, helicopters and assault rifles.
Subianto, who has made strengthening Indonesia's military a priority, also wants to buy submarines, frigates and more fighter jets, and step up defence co-operation with other countries.
In August 2024, as the country's president-elect, he met Russian president Vladimir Putin at the Kremlin.
Indonesia has sought to maintain a neutral position since Russia's full-scale invasion of Ukraine on February 24, 2022.
Subianto's predecessor, Joko Widodo, was the first Asian leader who visited both Moscow and Kyiv in July 2022, hoping to push for a ceasefire.