Pompeo also warned Russian Federation not to interfere in the 2020 US elections, while Lavrov denied that Russian Federation was involved in any 2016 election meddling.
Lavrov and Pompeo are likely to talk about arms control after the US pulled out of the INF, a key post-Cold War security treaty, and indicated its interests in a new agreement that also includes China. "Our elections are important and sacred and they must be kept free and fair and with no outside country interfering".
Of course special counsel Robert Mueller did find that Russian Federation interfered in the 2016 election in support of President Trump.
The Russian president said that Mueller's report "confirmed" there were "no traces whatsoever of collusion" between Russia and the Trump campaign.
Mr Pompeo said: "I made clear to Foreign Minister Lavrov that interference in American elections is unacceptable".More news: Cal Fire: Camp Fire Caused by PG&E Electrical Transmission Lines
Pompeo said he warned Russian Federation not to interfere in the 2020 US presidential election - something that USA authorities have said was possible - and he said Moscow needed to demonstrate it had halted such efforts.
Trump stunned Russian officials in November by scrapping a meeting with Putin at last year's G20 summit in Argentina with a Twitter announcement the day before the talks, blaming tensions over Russia's capture of Ukrainian sailors.
A Kremlin spokesman later said Putin would be open to a new meeting with Trump.
US Secretary of State Michael Pompeo on Tuesday said his country is not seeking war with Iran, despite a spike in tensions that has seen the Pentagon dispatch nuclear-capable bombers to the region. "We want Venezuela to get their democracy back", Pompeo said, alluding to suspicions that Russian support was instrumental in persuading Maduro to cling to power when he was almost dislodged at the beginning of the month.
"We have many differences here but the fact we will continue to discuss the situation that gives us hope that certain agreements could be reached with the support of the USA and Russia", Lavrov said, according to CBS News.More news: Bitcoin passes $7,000 level as winning streak continues
Pompeo said in televised remarks at the meeting on Tuesday that he came to Russia because President Donald Trump was "committed to improve this relationship" despite differences between the United States and Russia Syria, Iran, the crisis in Venezuela and other matters.
Russian officials, meanwhile, have said they are eager to extend the New START accord, governing U.S. and Russian strategic nuclear weapons, which expires in 2021.
As for reports that more USA troops could be moved to the Middle East, Pompeo said he would defer to the Defense Department.
The U.S. had warned sailors of the potential for attacks on commercial sea traffic.
"We fundamentally do not seek a war with Iran".More news: B.C. couple identified as victims of Alaska plane crash
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