In his conversation with Russian Foreign Minister Sergei Lavrov, Qureshi emphasised that a peaceful and stable Afghanistan was of critical importance for Pakistan and the region.
The two countries want to take forward the North South Gas pipeline project.
Moscow supported an Afghan government offer of a three-month ceasefire, and regretted that the Taliban rejected the offer on Monday.
US President Donald Trump said that Washington would have a "great team" for the talks aimed at resolving the nuclear standoff.
The US and its allies believe the Syrian regime was behind the attack, but Russia has long insisted it was staged by rebels in an attempt to provoke further Western intervention.
Russian Foreign Minister Sergei Lavrov says ex spy poisoning could be 'in interests' of UK government
Lavrov also suggested that the poisoning of Skripal could also be in the interests of the British special forces who are known for their abilities to act with a licence to kill".
In Washington, the State Department said there was no justification for the Russian move and that the United States "reserves the right to respond."
Sergei Lavrov said Thursday Moscow would expel 60 US diplomats and close its consulate in Saint Petersburg in a tit-for-tat expulsion over the poisoning of ex-double agent Sergei Skripal.
The American diplomats comprise 31 employees of the US embassy in Moscow and four diplomats from the US consulate in Saint Petersburg, the source said.