Russia has a peacekeeping force of around 1,200 soldiers stationed since 1992 in the rebel territory, a mainly Russian-speaking sliver of land bordering Ukraine.
Eight years of communist rule in Europe's poorest country ended this month when President Vladimir Voronin stood down after losing a parliamentary election in July to pro-European parties, potentially moving the small nation away from Russia.
Parliament speaker and acting president Mihai Ghimpu said he would raise the issue of Russia pulling out its troops at talks next month with Russian President Dmitry Medvedev.
"We should discuss this problem with President Dmitry Medevedev," Ghimpu told reporters after meeting Kremlin chief of staff Sergei Naryshkin in Chisinau.
"I hope we will manage to touch on this issue during the summit of heads of state of the Commonwealth of Independent States on Oct. 8-9 in Chisinau," he said, referring to the Moscow-dominated CIS grouping of former Soviet republics.
Moldova wants to install an international peacekeeping force in the rebel region of 600,000 people. The Russian force is mainly charged with guarding some 20,000 tonnes of Soviet-era weaponry and ammunition.
Russia, Moldova and Transdniestria agreed in March that an international force could replace Russian peacekeepers once a peace deal is reached, but there is no sign of a breakthrough on an accord.
Transdniestria broke away from Moldova in 1990, fearing it would unite with neighbouring Romania, with whom Moldovans share linguistic and historical ties. That never happened, but the region continues to insist on independence.
The pro-European coalition in Moldova has enough seats in parliament to form a government, but not to elect a president.
Prime Minister-designate Vlad Filat has a week left to choose his ministers and submit his cabinet to parliament for approval but will have to court communist lawmakers in order to agree the president, or face another election.
Transdniestria's separatist leadership says the July election result showed Moldova had picked the EU and NATO as allies. Transdniestria wants integration with Russia, although they do not share a common border.
