Attacks in two different Afghan provinces - Nangarhar in the east and Kunduz in the north - have left several people dead, including many of the assailants.
In Saturday’s first attack, a pre-dawn Taliban raid was thwarted by soldiers at a US military facility - Forward Operating Base Fenty - that is part of the Jalalabad airfield.
An Isaf statement said that no Afghan National Army (ANA) troops or Isaf soldiers were killed in the incident.
Eight attackers were killed, many of whom had been wearing ANA uniforms, Ahmad Zia Abdulzoi, a Nangarhar government spokesman, said.
Zabiullah Mujahid, a Taliban spokesman, said there were 14 attackers and that 11 of them were killed, but the claim could not be independently corroborated.