Pompeo's comments on the meeting didn't seem to indicate that he'd pressed the Russian president on election interference any harder than Trump had.
"My meetings in Russian Federation will highlight a number of important topics", Pompeo tweeted on Tuesday.
Now that the Mueller report was out of the way, Putin said he hoped ties would start improving.
"As we said before there was no collusion from our government officials and it could not be there. I hope that the necessary conditions for that to happen will now be created".
Pompeo's talks with Lavrov are the highest-level face-to-face talks between Washington and Russia since the release of special counsel Robert Mueller's report on Russian election meddling. After their meeting, both men said they had been far apart on many issues. "Interference in the American election is unacceptable", said Pompeo.
Pompeo said in televised remarks at the meeting on Tuesday that he came to Russian Federation because President Donald Trump was "committed to improve this relationship" despite differences between the United States and Russian Federation on Syria, Iran, the crisis in Venezuela, and other matters. We wouldn't tolerate that.
"We are ready to do that if our USA colleagues are ready to reciprocate".
President Trump, though, was less assuring. This will benefit each of our peoples. "And I think that our talks here today were a good step in that direction".
A Kremlin aide said the talks had not yielded any breakthrough but had been held in a business-like atmosphere.
Asked if Pompeo was blaming Iran for the attacks, Hook said: "We discussed. what seemed to be attacks on commercial vessels that were anchored off Fujairah. we have been requested by the UAE to provide assistance in the investigation, which we are very glad to do".
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U.S. Secretary of State Mike Pompeo speaks during the Arctic Council summit at the Lappi Areena in Rovaniemi, Finland May 7, 2019.
"The Trump Administration has been clear - we do not recognize Russia's attempted annexation of Crimea".
"We have places where we just have very different views", he said of the U.S. -Russia relationship.
"It's not about 'moving on.' It's about trying to find solutions, compromises, places where there are overlapping interests", he told reporters. "You can make progress in unlocking some of the most hard problems that are facing us".
Pompeo and Lavrov have in the past weeks called on the other's country to get out of crisis-wracked Venezuela.
Crimea was illegally annexed in March 2014.
Mike Pompeo made the remarks while sitting alongside Sergei Lavrov, the Russian foreign minister, at a joint press conference in the Black Sea resort of Sochi.
Hunt, who held talks with Maas and Le Drian on the margins of a regular European Union meeting in Brussels, expressed concern about the risks of a nuclear arms race in the Middle East if Iran were to acquire such weapons.
"We are looking for Iran to behave like a normal country", Pompeo said, pointing in part to Tehran's backing of Huthi rebels in Yemen who are under attack from U.S. ally Saudi Arabia.