"I admit that such a form of cooperation between our countries may exist, because we are talking about countering terrorism, extremism, in the end. And this is what all the countries are interested in," Umakhanov told reporters, answering a corresponding question.
The deputy speaker noted that Russia had already provided support to Afghanistan in training staff for countering drag trafficking, noting that there were certain agreements on the issue between foreign and interior ministries.
A delegation of Russian upper house lawmakers, headed by speaker Valentina Matvienko, is on a visit to Saudi Arabia on April 15-17 to hold meetings with the country's top officials and discuss a wide range of issues, such as terrorism fight and bilateral cooperation.