"I really hope that Europeans, in the face of the terrible threat of terrorism that occurred yesterday in Brussels, will put aside their geopolitical games and unite to prevent terrorists from acting on our continent," Lavrov was quoted by Russian agencies as telling visiting German counterpart Frank-Walter Steinmeier.
Europe is facing a security crisis after today's triple bombing in Brussels, which came on the heels of the November bomb and gun assaults in Paris that killed 130 people.
Steinmeier was in Moscow for meetings with Lavrov and President Vladimir Putin Wednesday, while US Secretary of State John Kerry touched down in the Russian capital ahead of talks with the duo Thursday.
The talks beteen Steinmeier and Putin on Wednesday were an "open and constructive dialogue" touching on the situation in the Ukraine as well as the Syria peace efforts, Germany's foreign ministry said.
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The West is looking to size up the Kremlin's game plan after Putin's surprise announcement on March 14 that Moscow was withdrawing the bulk of its forces conducting air strikes in support of President Bashar al-Assad in Syria.
Steinmeier said last week that Russia's drawdown in Syria could increase pressure on Assad to "negotiate in a serious way", but peace talks with the opposition in Geneva have failed to make much headway.
"I personally cannot imagine that in light of 250,000 people killed and 12 million refugees, Assad can become a leader acceptable to all segments of the population," Steinmeier told Russia's Interfax news agency Wednesday.
Many Russian officials, including Putin, have echoed Lavrov's call for unity in the fight against terrorism.
"The fight against this evil calls for the most active international cooperation," the Kremlin said Tuesday.
A Russian jet on its way from Egypt's Sharm el-Sheikh resort to Saint Petersburg was brought down in October by a bomb, killing all 224 people on board in an attack claimed by the Egyptian-branch of IS.