Putin saw the gesture as a step towards warmer relations between both countries, the Kremlin wrote.
“The president of Russia praised this move by the President of the United States as a guarantee that in the future it will be possible to restore full-fledged relations between the two countries,” it said.
The phone conversation took place on the “initiative of the American side,” the Kremlin added.
The White House confirmed the two leaders had spoken. They discussed wildfires and “trade between the two countries,” Deputy White House Press Secretary Hogan Gidley said.
The Russian leader expressed his “sincere gratitude” and said he would take Trump up on his offer “if necessary.”
Both leaders agreed to keep in contact over the telephone and in face-to-face meetings, the Kremlin wrote.
States of emergency
The call came after Putin ordered Russia’s defense ministry to assist in extinguishing the fires.
“There are certain difficulties, but at the same time issues are being resolved with refueling and deployment of airplanes and helicopters,” the Kremlin wrote.
The fires, mostly in remote forests, span an area almost the size of Belgium, Reuters reported. Wafting smoke in Siberia had led several regions to declare states of emergency, it added.
Local firefighters told CNN some of the land affected by the fires is difficult to reach. “By the time we get there, they can spread very far,” on of the firefighters, Stanislav Zaitsev, told CNN.
Despite criticism from environmental activists, Russian authorities said they would only fight fires that are near populated areas, because putting out the flames elsewhere would not be “economical.”
The fires in Siberia are part of more than 100 intense blazes that have ravaged the Arctic since June, with scientists describing the blazes as unusual and “unprecedented.”
Satellite images show vast clouds of smoke billowing across uninhabited land in Greenland, Siberia, and parts of Alaska.
Exacerbated by rising temperatures, the wildfires also contribute to the climate crisis by releasing carbon dioxide into the atmosphere.
CNN’s Isabelle Gerretsen and Ivana Kottasová contributed to this story.