Donilon travelled to Beijing on May 26 for meetings with the top Chinese leadership.
"In his discussions with senior Chinese officials, Mr Donilon emphasised the need for further cooperation in addressing such issues as North Korea, cyber-security, climate change, stability in Asia as well as expanding bilateral military ties," National Security Council spokesperson Caitlin Hayden said.
"Donilon stressed the need for further coordination on advancing the global economy and bilateral economic relations, as well as the importance of continued dialogue on human rights," she said.
"Donilon also had a productive discussion with General Fan Changlong, Vice Chairman of the Central Military Commission," she said.
"Donilon underscored that the upcoming meeting (between Obama and Xi) in California is a unique and important opportunity for in-depth and wide-ranging discussions on US-China ties, as well as many regional and global challenges confronting both countries.
Donilon highlighted the importance discussions on perceptions, interests and priorities guiding each other's approach to bilateral, regional and global affairs," Hayden said in a statement.