This is the first visit by a Russian foreign minister to Pakistan since 2012.
With the Afghan situation on top of the agenda, the two foreign ministers will also discuss bilateral ties, including economic cooperation, counter-terrorism, and socio-economic ramifications of the Covid-19 pandemic.
According to a statement issued by the Russian Foreign Ministry, FM Lavrov will also hold meetings with the country's top political and military leadership.
"The parties plan to discuss the current state and prospects for the development of bilateral relations with an emphasis on cooperation in the trade, economic and counter-terrorism fields, exchange views on topical issues of the international and regional agenda," the statement said.
"Today, Pakistan is an important foreign policy partner of our country. Fruitful interaction is maintained at the international organizations, primarily in the UN and its specialized agencies. The cooperation between Moscow and Islamabad is based on the coincidence or similarity of positions on most of the problems of the world community, including issues of strategic stability and countering terrorism," it added.
Leaving the bitterness of the past behind, Islamabad and Moscow have developed strategic trust and share views on various issues, including the Afghan problem.
Russia recently hosted a conference of Pakistan, the United States, China, and representatives from the Afghan government and the Taliban as part of its efforts to break the stalemate in the ongoing Afghan peace process.
Russia, like Pakistan, China, and Iran, is concerned that the US withdrawal from Afghanistan without a prior peace deal could jeopardize regional security.
The statement issued by the Russian foreign ministry termed the situation in Afghanistan a "common concern".
"We look forward to an early finding of a constructive solution in order to end the civil war in the Islamic Republic of Afghanistan through agreements on the formation of an inclusive government with the participation of the Taliban movement," it said