The news comes just as an iconic district in the country's south falls to the Taliban.
DARPA goes beyond using electronic jamming to stop enemy drones.
It marks the second meeting in a month between Gen. Joseph F. Dunford Jr. and his Russian counterpart.
The attacks may have been an attempt to target the Islamic State, a U.S. general said.
'It brings a lot of assets and a lot of attributes that would aid in the fight there,' a general said.
"We are not in a position right now to collaborate on a military level,” he said.
The missile is probably a ground-based variant of Russia's new Kalibr cruise missile.
"Americans cannot care more for your children's security than you do," he said.
The issue is sensitive for NATO allies, who are concerned about Russian interference in elections and aggression that includes the 2014 annexation of Ukraine's Crimea region.
It is unclear if the jets were armed.