MOSCOW — After President Obama and President Vladimir V. Putin of Russia spoke by telephone on Monday, a top Russian official said cooperation between the leaders’ intelligence services had “noticeably intensified in the past few days,” though he said Russia had not been able to provide valuable intelligence about the suspects in the Boston Marathon bombing, Tamerlan and Dzhokhar Tsarnaev.

Mr. Putin said last week that the Federal Security Service was unable to provide “information which had operative value” about the Tsarnaev brothers, “due to the fact that the Tsarnaevs had not lived in Russia for many years.”

Mr. Putin’s spokesman, Dmitri S. Peskov, repeated that phrase after the two presidents spoke on Monday, but he said cooperation between the countries’ counterterrorism and intelligence services had improved to new levels as a result of the Boston bombing.

“This aroused praise from Putin and Obama, and their satisfaction,” Mr. Peskov told the Interfax news service, adding that cooperation on intelligence “on the whole promotes mutual confidence in bilateral relations.”